case study questions class 10 maths coordinate geometry

• Bihar Board

SRM University

Bseb 10th result.

• Bihar Board Result 2024
• UP Board Result 2024
• CBSE Board Result 2024
• MP Board Result 2024
• Rajasthan Board Result 2024
• Shiv Khera Special
• Education News
• Web Stories
• Current Affairs
• नए भारत का नया उत्तर प्रदेश
• School & Boards
• College Admission
• Govt Jobs Alert & Prep
• GK & Aptitude
• CBSE Class 10 Study Material

CBSE Class 10 Maths Case Study Questions for Chapter 7 - Coordinate Geometry (Released By CBSE)

Cbse's question bank on case study for class 10 maths chapter 7 is available here. practice this new type of questions to score good marks in your board exam..

Case study based questions for CBSE Class 10 Maths Chapter 7 - Coordinate Geometry are provided here for students to practice this new format of questions for their Maths Board Exam 2022. All these questions are published by the Central Board of Secondary Education (CBSE) for Class 10 Maths. Students must solve these questions to familiarise themselves with the concepts and logic used in the case study. You can also check the right answer at the end of each question.

Check Case Study Questions for Class 10 Maths Chapter 7 - Coordinate Geometry

CASE STUDY 1:

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th distance AD on the eighth line and posts a red flag.

1. Find the position of green flag

b) (2,0.25)

d) (0, -25)

Answer:  a) (2,25)

2. Find the position of red flag

Answer: c) (8,20)

3. What is the distance between both the flags?

a) √41

b) √11

c) √61

d) √51

Answer: c) √61

4. If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

a) (5, 22.5)

d) (2.5,20)

Answer: a) (5, 22.5)

5. If Joy has to post a flag at one-fourth distance from green flag , in the line segment joining the green and red flags, then where should he post his flag?

a) (3.5,24)

b) (0.5,12.5)

c) (2.25,8.5)

Answer: a) (3.5,24)

CASE STUDY 2:

The class X students school in krishnagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

1. Taking A as origin, find the coordinates of P

Answer: a) (4,6)

2. What will be the coordinates of R, if C is the origin?

Answer: c) (10,3)

3. What will be the coordinates of Q, if C is the origin?

b) b) (-6,13)

Answer: d) (13,6)

4. Calculate the area of the triangles if A is the origin

Answer: a) 4.5

5. Calculate the area of the triangles if C is the origin

Answer: d) 4.5

Also Check:

Tips to Solve Case Study Based Questions Accurately

CBSE Class 10 Maths Best Study Material for 2021-2022

Get here latest School , CBSE and Govt Jobs notification in English and Hindi for Sarkari Naukari and Sarkari Result . Download the Jagran Josh Sarkari Naukri App . Check  Board Result 2024  for Class 10 and Class 12 like  CBSE Board Result ,  UP Board Result ,  Bihar Board Result ,  MP Board Result ,  Rajasthan Board Result  and Other States Boards.

• BSEB Bihar Board 10th Result 2024
• Bihar Board 10th Result 2024
• BTEUP Result 2024
• IB ACIO Result 2024
• Bihar Deled Exam Postponed
• Bihar Board 10th Result 2024 Kab Aayega
• MHT SET Admit Card 2024
• AAI JE Result 2024
• UIIC Assistant Score Card2024

Trending Categories

• CBSE Study Material
• CBSE Class 10

Latest Education News

(Updated) RCB vs KKR Head to Head in IPL: Check Stats, Records and Results

GT IPL 2024 Match Schedule: गुजरात टाइटंस के सभी मैचों का वेन्यू, डेट और टाइम यहां देखें

[Current] Orange Cap and Purple Cap Holders in IPL 2024

IPL 2024: हिंदी हो या भोजपुरी इन चर्चित कमेंटेटरों के साथ आईपीएल का लें लुफ्त

IPL 2024: आईपीएल में किसने फेंकी थी पहली गेंद, किसने लिया था पहला विकेट और किसने जड़ा था पहला छक्का

Fastest 50s In IPL History: आईपीएल इतिहास के सबसे तेज़ अर्द्धशतक की पूरी लिस्ट यहां पढ़े  

SSC JE 2024 Notification OUT at ssc.gov.in: 966 Vacancies Notified, Check Application Form Here

[Today] IPL 2024 Points Table: Team Rankings and Net Run Rate

(Updated) RR vs DC Head to Head in IPL: Check Stats, Records and Results

IB ACIO Result 2024 OUT at mha.gov.in: Download Tier 1 Selection List

Who Won Yesterday IPL Match: RR vs DC, Match 9, Check All Details and Latest Points Table

Current Affairs One Liners: 28 March 2024- Highest Team Score In IPL History

Good Friday 2024: Why is it called Good Friday? All You Need To Know

Easter Sunday 2024: What Is The History Of Easter Egg and Bunny In This Christian Festival?

Picture Puzzle IQ Test: Find the mistake in the watch picture in 3 seconds!

Good Friday 2024: What Are The Different Names For The Celebration Of Holy Friday?

Picture Puzzle Vision Test: Can You Spot A Golf Club, Hockey Stick, And Mail Box In This Bowling Scene In 12 Seconds?

IB ACIO Result 2024 Declared: टियर 1 सेलेक्शन लिस्ट mha.gov.in पर घोषित, इस लिंक से करें डाउनलोड

IB ACIO Result 2024 Out: ग्रेड-2 एग्जीक्यूटिव टियर 1 परिणाम लिंक mha.gov.in पर घोषित, इस लिंक से करें चेक

Spot 3 differences in boy drinking milk picture in 15 seconds.

Class 10 Maths Case Study Questions Chapter 7 Coordinate Geometry

• Post author: studyrate
• Post published:
• Post category: class 10th
• Post comments: 0 Comments

Case study Questions in the Class 10 Mathematics Chapter 7  are very important to solve for your exam. Class 10 Maths Chapter 7 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  Class 10 Maths Case Study Questions  Chapter 7  Coordinate Geometry

Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Coordinate Geometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 7 Coordinate Geometry

Case Study/Passage-Based Questions

Question 1:

Answer: (d) none of these

(ii) The distance of the bus stand from the house is

Answer: (b) 10 cm

(iii) If the grocery store and electrician’s shop lie on a line, the ratio of the distance of the house from the grocery store to that from the electrician’s shop, is

Answer: (c) 1.2

(iv) The ratio of distances of the house from the bus stand to food cart is

Answer: (c) 1.1

(v) The coordinates of positions of bus stand, grocery store, food cart, and electrician’s shop form a

Question 2:

The class X student’s school in krishnagar has been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

1. Taking A as origin, find the coordinates of P

Answer: a) (4,6)

2. What will be the coordinates of R, if C is the origin?

Answer: c) (10,3)

3. What will be the coordinates of Q, if C is the origin?

b) b) (-6,13)

Answer: d) (13,6)

4. Calculate the area of the triangles if A is the origin

Answer: a) 4.5

5. Calculate the area of the triangles if C is the origin

Answer: d) 4.5

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Coordinate Geometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

You Might Also Like

CBSE Class 10 Science How Do Organisms Reproduce MCQ Quiz with Answers

Class 10 Maths Statistics Handwritten Notes by Toppers – Download PDF

Case study questions class 10 history -nationalism in india, leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

• Privacy Policy
• Terms and Conditions

• Web Stories

Friday, October 1, 2021

Class 10 maths case study based questions chapter 7 coordinate geometry cbse board term 1 with answer key.

Hello students, Welcome to Maths Easy Institute.  

CASE STUDY 1:   

0 comments:

Post a comment.

Please do not enter any spam link in the comment box.

Warning: Do Not Copy!

• Blog Archives

• Best Books for IIT JEE
• Best Colleges Of India
• class 10 Case Study Based questions
• Class 10 Maths MCQ
• Class 11 Maths Case Study Questions
• Class 11 Maths MCQ
• Class 12 Math Case Study questions
• Class 12 Maths MCQ
• JEE MAIN MCQ
• Maths Strategy JEE
• News for Students

Blog Archive

• ►  April (3)
• ►  March (2)
• ►  February (1)
• ►  January (5)
• ►  December (9)
• ►  November (5)
• Case Study Questions Class 10 Maths Chapter 9 Appl...
• Class 10 Maths Case Study Based Questions Chapter ...
• Class 11 Maths MCQ Chapter 5 Complex Numbers CBSE ...
• Class 11 MCQ type Questions Chapter 2 Relations an...
• ►  September (5)
• ►  April (4)
• ►  March (3)
• ►  October (2)
• ►  September (7)
• ►  August (2)
• ►  July (4)

CBSE Case Study Questions for Class 10 Maths Coordinate Geometry Free PDF

Mere Bacchon, you must practice the CBSE Case Study Questions Class 10 Maths Coordinate Geometry  in order to fully complete your preparation . They are very very important from exam point of view. These tricky Case Study Based Questions can act as a villain in your heroic exams!

I have made sure the questions (along with the solutions) prepare you fully for the upcoming exams. To download the latest CBSE Case Study Questions , just click ‘ Download PDF ’.

CBSE Case Study Questions for Class 10 Maths Coordinate Geometry PDF

Mcq set 1 -, mcq set 2 -, checkout our case study questions for other chapters.

• Chapter 5: Arithmetic Progressions Case Study Questions
• Chapter 6: Triangles Case Study Questions
• Chapter 8: Introduction to Trigonometry Case Study Questions
• Chapter 9: Some Applications of Trigonometry Case Study Questions

How should I study for my upcoming exams?

First, learn to sit for at least 2 hours at a stretch

Solve every question of NCERT by hand, without looking at the solution.

Solve NCERT Exemplar (if available)

Sit through chapter wise FULLY INVIGILATED TESTS

Practice MCQ Questions (Very Important)

Practice Assertion Reason & Case Study Based Questions

Sit through FULLY INVIGILATED TESTS involving MCQs. Assertion reason & Case Study Based Questions

After Completing everything mentioned above, Sit for atleast 6 full syllabus TESTS.

Contact Form

Privacy Policy

Class 10 Maths Chapter 7 Case Based Questions - Coordinate Geometry

Study case - 1.

The class X students of a school in Rajinder Nagar have been allotted a rectangular plot of land for their gardening activity. Sapling of Mango are planted on the boundary at the distance of 1 m from each other.

Based on the above figure, answer the following questions:

  Q4: What will be the coordinates of the vertices of ΔPQR if C is the origin? (a) (14, 3), (11, 2), (8, 6) (b) (15, 4), (12, 3), (9, 7) (c) (14, 2), (11, 1), (8, 5) (d) (15, 3), (12, 2), (9, 6) Ans:  (d) Explanation:  When C is taken as origin, we will take CB as X-axis and CD as Y-axis. Then, coordinates of points, P, Q and R are (15, 3), (12, 2)and (9, 6) respectively.

Q5: What are the coordinates of P if D is taken as the origin? (a) (−15, 5) (b) (15, 5) (c) (15, 7) (d) (15, 3) Ans:  (a) Explanation:  When D is taken as origin, we will take DA as negative X-axis and DC as positive Y-axis.   Then coordinates of point P is (−15, 5).

Case Study - 2

Based on the above information, give the answer of the following questions: 

Study Case - 3

Based on the above information give the answer of the following questions:

Q1: The coordinates of the point A are: (a) (4,9) (b) (5,9) (c) (92,9) (d) (4,8) Ans: (c) Explanation:  As the distance of point A is 9/2 units from the Y-axis and 9 units from the X-axis, its coordinates are x = 9/2, y = 9 or (9/2, 9)

Top Courses for Class 10

Practice quizzes, mock tests for examination, shortcuts and tricks, viva questions, objective type questions, sample paper, video lectures, important questions, semester notes, study material, previous year questions with solutions, extra questions, past year papers.

Case Based Questions: Coordinate Geometry Free PDF Download

Importance of case based questions: coordinate geometry, case based questions: coordinate geometry notes, case based questions: coordinate geometry class 10, study case based questions: coordinate geometry on the app, welcome back, create your account for free.

Forgot Password

Unattempted tests, change country.

Talk to our experts

1800-120-456-456

• CBSE Class 10 Maths Important Questions on Chapter 7 - Coordinate Geometry

CBSE Class 10 Maths Important Questions Chapter 7 - Coordinate Geometry - Free PDF Download

Vedantu has provided the important questions for CBSE Class 10 Maths Chapter 7 - Coordinate Geometry in a manner that students will find easy to understand and study. Our expert teachers have spent dutiful hours in making these questions as close to the ones in the actual paper as possible. Students will most likely find these questions common in their question paper since we follow the CBSE guidelines strictly in this regard. This chapter introduces students to coordinate geometry in mathematics. Mathematics is known to be a tough subject and this article is supposed to help students to figure out how to study the important topics in the chapter by going over the important questions that are provided in Vedantu. This article shows students how to prepare for any upcoming examinations by helping them practise the sums that are relevant and have a higher chance of coming into the exam. Mathematics is a complex subject to study on your own and to help students can use important questions of coordinate geometry class 10 provided to ace their examinations. Class 10 boards are very important for students and to help prepare and do well they can do the questions as a part of their revision.

Vedantu is a platform that provides free NCERT Book Solutions and other study materials for students. You can Download Maths NCERT Solutions Class 10 and NCERT Solution Class 10 Science to help you to revise the complete Syllabus and score more marks in your examinations.

Download CBSE Class 10 Maths Important Questions 2023-24 PDF

Also, check CBSE Class 10 Maths Important Questions for other chapters:

Related Chapters

Chapter 7 Maths Class 10 Important Questions- Free PDF Download

Students looking to find important questions for coordinate geometry can find it here in this article at the Vedantu website which is free and easily available for the student. The website allows for easy access to its important questions and also it is easily downloadable. Students will find these notes to be helpful during the preparation of their examinations, these important questions are easily downloadable in a pdf format. Students who find it difficult to study on the screen can also print this material so they don't waste too much time on the internet. These questions can come for more marks than what is anticipated and so students need to be thorough with their preparation. Class 10 board examination is an important one for students and students need to know how to prepare well for it so they can do well because the marks they score in 10th will carry on for life long. So students need to prepare early and have continuous revisions and to help them with that they can use this article which will help guide them through this chapter on coordinate geometry.

Important Topics Covered under CBSE Class 10 Maths Chapter 7 - Coordinate Geometry 

Coordinate geometry draws the linkage between geometry and algebra using various graphs and lines. Some of the concepts covered in this chapter are as follows

History of Coordinate Geometry 

Coordinate geometry was first introduced by a French mathematician known as Rene Descartes; he was the first person to find a method to describe the location of points. Later in his research, he concluded that different curves and lines could be found using equations using coordinate geometry. He was the first person to draw the link between geometry and algebra. His work was considered extremely useful and to honour his work the coordinates of a point are called cartesian coordinates and the coordinate plane is known as the cartesian coordinate plane.

Coordinates 

Coordinates are simply the various points on the plane. Using the x-axis and y-axis we can find out the exact location of the point. Because we are using a grid system it is much easier to locate anything because we just need to identify which cell( the intersection of rows and columns) the point falls.

Coordinate Plane 

In coordinate geometry, there is a coordinate plane where different points are placed. There are usually two different scales- one with right angles to it is known as the y axis and the one running across from the plane is known as the x-axis. The point of origin is where both the x and y-axis meet and are known as the point of origin, this is usually at point 0. 

Co coordinate geometry is quite simple, it uses pairs of numbers to give the location of a point on a plane.

Advantages of Coordinate Geometry 

When we know the coordinates of certain points we can do the following- Determine the distance between them

We can find the equation, slope, and midpoint of any line segment.

We can find whether the lines are perpendicular or parallel.

Using the points we can find the perimeter and areas of any polygon.

By Reflecting, moving, and rotating we can transform any shape. 

Define various eclipses, curves, and circles. 

Find out the distances between different points, lines, and shapes.

Class 10 Maths Chapter 7 Important Questions 

This chapter introduces students to coordinate geometry and students can study from this subject the very basics and get to a more intermediate level. The following are the important questions that students must look at when preparing for their examinations- 

There are two routes to use to travel from destination A to destination B. First Bus reaches via point C and the second bus reaches from A to B Directly. If Coordinates of A, B, and C are (-2,-3),(2,3), and (3,2) respectively then which bus do you want to travel from A to B? which value is depicted in the question.

On a sports day celebration, Shyam and Ram are standing at positions A and B and their coordinates are (2,-2) and (4,8). The teachers ask Pooja to fix the flag at the midpoint of the line joining points A and B. Find the coordinates of the midpoint? Which type of value would you infer from the question? 

To raise awareness of the hazard of smoking and the harm it does to the body, a school decided to start a “ no smoking” campaign. 10 students are asked to prepare campaign flags in the shape of a triangle. If the costs of 1cm2 of each banner are 2 rupees then find the overall cost incurred in the campaign. Which value is depicted in the question? 

Find the area of a rhombus if its vertices are (3,0), (4,5),(-1,4) and (-2,-1) taken in the area.

Find the centroid of a triangle whose vertices are(4,-8), (-9,7), and (8, 13). 

Prove that in a right-angled triangle the midpoint of the hypotenuse is in equal distance from all its vertices 

Prove that the diagonals of a rectangle bisect each other are all equal.

The length of a line segment is 10. If one endpoint (2,-3) and the abscissa of the second endpoint is 10 shows that the ordinate is 3 or -9.

Using section formulas show that points (-1,2),(5,0) and (2,1) are collinear.

Find the relation between x and y such that point (x,y) is equidistant from the points (7,1) and (3,5).

Some Practice Questions on CBSE Class 10 Maths Chapter 7 - Coordinate Geometry

(2a, a – 7) is the centre of a given circle. If the circle is passing through the point (11, –9) and it has a diameter of 10√2 units, then determine the value of a.

Are the points (1, 7), (4, 2), (–1, –1), and (– 4, 4) the vertices of a square? Explain why.

Determine a point on the x-axis that is equidistant from (2, –5) and (–2, 9).

Determine the ratio in which the line segment joining the points (8, –9) and (2, 1) is divided into by the line 2x + 3y – 5 = 0. Also, determine the coordinates of this point of division.

If the vertices of a rhombus are (3, 0), (4, 5), (– 1, 4), and (– 2, – 1), when taken in order, then determine its area. [ Hint : Area of a rhombus = 1/2 (product of its diagonals)]

The distances of P(x, y) from A(5, 1) and B(-1, 5) are equal. Prove that 3x = 2y.

What ratio is the line segment joining the points P(2, -2) and Q(3, 7) divided by the point (24/11, y)? Also, determine the value of y.

The points A (1, –2), B (2, 3) C (a, 2) and D (– 4, –3) form a parallelogram. Determine the value of a and the height of this parallelogram, by considering AB to be the base.

The vertices of a triangle are (1, -1), (-4, 6), and (-3, -5). Determine its area.

The points A(x, y), B(-4, 6), and C(-2, 3) are collinear. Find a relation between x and y.

Benefits of Class 10 Maths Chapter 7 Important Questions

Mathematics can be quite a difficult subject to understand by yourself. So by using the right guide material like the ones found in Vedantu students can utilise it to their maximum and score the best marks possible. A lot of this subject is a theory so students need to just understand the various concepts and don't have to mug up anything like science subjects. 

Students can use this text to use their time wisely, it helps boost their confidence after consistent practice and students can plan their preparation accordingly.

Students can utilise and practise the important questions so that they can ace their examinations. 

It provides students with a structure with which they will study for his or her upcoming examinations.

This is a fundamental subject for high school kids and plays an important role in higher studies.

Students don’t need to worry about the relevance of these questions as they're all cross-checked and updated consistently with the newest CBSE guidelines and rules. Therefore, the information in Vedantu is genuine and reliable.

Students studying this chapter on coordinate geometry will find that it helps in higher studies and helps them understand the basics in any design engineering field.

Conclusion 

Mathematics is known to be a difficult subject. Coordinates are simply the various points on a plane. Using the x-axis and y-axis we can find out the exact location of the point. students will learn how to use various coordinate plans and different ways to locate points, lines, curves, and shapes. Students can use this article to use their time wisely, it helps boost their confidence after consistent practice and students can plan their preparation accordingly. Students can work more diligently towards their goals and strive for higher marks as well. These important questions make sure that students are aware of the various topics in the subject and learn to master all the concepts. This chapter teaches students to coordinate geometry in mathematics the questions provided in this article helps students understand the subject better.

Important Related Links for CBSE Class 10 Maths

FAQs on CBSE Class 10 Maths Important Questions on Chapter 7 - Coordinate Geometry

1. What does Class 10 Maths Chapter 7 depict?

Class 10 Maths Chapter 7 depicts Coordinate Geometry which is the branch of Mathematics. It helps us to exactly locate a given point with the help of an ordered pair of numbers.

Coordinate geometry is also well known as Cartesian Geometry. It helps in finding the distance between two points whose coordinates are given. The coordinates of the point can also be found by this theory, which divides the line segment joining two points in the given ratio. Through this, you can also learn how to find the area of a triangle with reference to the coordinate of its vertices.

2. What is Coordinate Geometry?

Coordinate Geometry is considered to be one of the most interesting chapters of Mathematics. Coordinate Geometry (or the analytic geometry) depicts the link between Geometry and Algebra through graphs that involve curves and lines.

Coordinate geometry is named as the study of graphs. Graphs are the visual representations of the data that derives from every aspect of our lives. There are various types of graphs like bar graphs, histograms, line graphs, etc.

3. Why should I opt for Important Questions for Class 10 Maths Chapter 7?

As the name suggests, Important Questions for Class 10 Maths Chapter 7 is the compilation of all the important questions from the specified chapter. These questions are truly important for all the students who are preparing for the board exam and eager to score the best possible marks in the exam. This questionnaire is created on the basis of previous years question papers, textbook exercises, chapter-wise weightage etc.

4. Can I download the solutions of these Important Questions for Class 10 Maths Chapter 7?

Yes, you can download the solutions of these Important Questions for Class 10 Maths Chapter 7 titled Coordinate Geometry from Vedantu website (vedantu.com). These solutions are created by our in-house experts hence you will not have to doubt its accuracy. You can also download the Vedantu app from Google play store to access these important questions along with the readymade so.

5. Is it enough to practice using Vedantu’s important Questions for Chapter 7 of Class 10 Maths?

Chapter 7 of Class 10 Maths requires extensive practice. The most significant course material in this regard is your NCERT textbook and its Solutions. After that, you can practice using Vedantu's Important Question for Chapter 7 of Class 10 Maths. These questions provide you with a ton of practice and are crucial for your board examinations. Another important thing is to practice using sample papers and previous years’ questions. All these together form the most crucial sources of your CBSE exam preparation. 

6. Is Class 10 Mathematics Chapter 7 Coordinate Geometry easy?

Coordinate geometry is an important chapter for CBSE board examinations. It is a pretty straightforward chapter in which you can score perfect marks if you understand the concepts well. Questions of a total of 6 marks may be asked from this chapter.

Coordinate Geometry does require lots of practice and Vedantu's Important Questions for Chapter 7 of Class 10 Maths is the ideal place for this. Get tons of practice on a  variety of questions thanks to Vedantu .

7. How many questions can I find on Vedantu’s Important Questions for Chapter 7 of Class 10 Maths?

Vedantu's Important Questions for Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths contains 94 questions ranging from 1 to 4 marks along with many value-based questions.

Practising these many questions is bound to perfect your understanding of the chapter and in turn, provide much-needed practise for the CBSE Board examinations. As soon as you finish your NCERT textbook questions you must practice these questions regularly. Frequent practice at regular intervals will help you master all the Class 10 Mathematics chapters.

8. What are some important questions from Coordinate Geometry?

Few Important Questions from Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths are as follows:

If, Q (0,1) is equidistant from P (5, -3) and R (x, 6), find the values of x. also, find the distances QR and PR.  (4 Marks)

Find the centre of a circle passing through the points (6, -6), (3, -7), and (3, 3). (3 Marks)

Find the relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5)

9. What are the important topics of Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths ?

Important topics covered in Coordinate Geometry are as follows:

a. Distance Formula

b. Section Formula

c. Special Case of the midpoint of a line segment joining two points

d. Area of a Triangle

To practice important questions from this chapter, visit Vedantu's Important Questions for Chapter 7 ‘Coordinate Geometry’ of Class 10 Maths . These are handpicked from the NCERT textbook, sample papers, and previous years’ question papers. Hence these are the apt test practice tool for Class 10 Mathematics CBSE Board exams. The study material provided by Vedantu is available to download from its website (vedantu.com) absolutely free of cost.

CBSE Class 10 Maths Important Questions

Cbse study materials.

CBSE Expert

CBSE Class 10 Maths: Case Study Questions of Chapter 7 Coordinate Geometry PDF Download

Case study Questions in the Class 10 Mathematics Chapter 7  are very important to solve for your exam. Class 10 Maths Chapter 7 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based   questions for Class 10 Maths Chapter 7  Coordinate Geometry

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on  Assertion and Reason . There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Coordinate Geometry Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 10 Maths  Chapter 7 Coordinate Geometry

Case Study/Passage-Based Questions

Question 1:

Answer: (d) none of these

(ii) The distance of the bus stand from the house is

Answer: (b) 10 cm

(iii) If the grocery store and electrician’s shop lie on a line, the ratio of the distance of the house from the grocery store to that from the electrician’s shop, is

Answer: (c) 1.2

(iv) The ratio of distances of the house from the bus stand to food cart is

Answer: (c) 1.1

(v) The coordinates of positions of bus stand, grocery store, food cart, and electrician’s shop form a

Question 2:

The class X student’s school in krishnagar has been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

1. Taking A as origin, find the coordinates of P

Answer: a) (4,6)

2. What will be the coordinates of R, if C is the origin?

Answer: c) (10,3)

3. What will be the coordinates of Q, if C is the origin?

b) b) (-6,13)

Answer: d) (13,6)

4. Calculate the area of the triangles if A is the origin

Answer: a) 4.5

5. Calculate the area of the triangles if C is the origin

Answer: d) 4.5

Hope the information shed above regarding Case Study and Passage Based Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 10 Maths Coordinate Geometry Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

Leave a Comment Cancel reply

Save my name, email, and website in this browser for the next time I comment.

Download India's best Exam Preparation App Now.

Key Features

• Revision Notes
• Important Questions
• Previous Years Questions
• Case-Based Questions
• Assertion and Reason Questions

No thanks, I’m not interested!

myCBSEguide

• Mathematics
• Case Study Class 10...

Case Study Class 10 Maths Questions

Table of Contents

myCBSEguide App

Download the app to get CBSE Sample Papers 2023-24, NCERT Solutions (Revised), Most Important Questions, Previous Year Question Bank, Mock Tests, and Detailed Notes.

Now, CBSE will ask only subjective questions in class 10 Maths case studies. But if you search over the internet or even check many books, you will get only MCQs in the class 10 Maths case study in the session 2022-23. It is not the correct pattern. Just beware of such misleading websites and books.

We advise you to visit CBSE official website ( cbseacademic.nic.in ) and go through class 10 model question papers . You will find that CBSE is asking only subjective questions under case study in class 10 Maths. We at myCBSEguide helping CBSE students for the past 15 years and are committed to providing the most authentic study material to our students.

Here, myCBSEguide is the only application that has the most relevant and updated study material for CBSE students as per the official curriculum document 2022 – 2023. You can download updated sample papers for class 10 maths .

First of all, we would like to clarify that class 10 maths case study questions are subjective and CBSE will not ask multiple-choice questions in case studies. So, you must download the myCBSEguide app to get updated model question papers having new pattern subjective case study questions for class 10 the mathematics year 2022-23.

Class 10 Maths has the following chapters.

• Real Numbers Case Study Question
• Polynomials Case Study Question
• Pair of Linear Equations in Two Variables Case Study Question
• Quadratic Equations Case Study Question
• Arithmetic Progressions Case Study Question
• Triangles Case Study Question
• Coordinate Geometry Case Study Question
• Introduction to Trigonometry Case Study Question
• Some Applications of Trigonometry Case Study Question
• Circles Case Study Question
• Area Related to Circles Case Study Question
• Surface Areas and Volumes Case Study Question
• Statistics Case Study Question
• Probability Case Study Question

Format of Maths Case-Based Questions

CBSE Class 10 Maths Case Study Questions will have one passage and four questions. As you know, CBSE has introduced Case Study Questions in class 10 and class 12 this year, the annual examination will have case-based questions in almost all major subjects. This article will help you to find sample questions based on case studies and model question papers for CBSE class 10 Board Exams.

Maths Case Study Question Paper 2023

Here is the marks distribution of the CBSE class 10 maths board exam question paper. CBSE may ask case study questions from any of the following chapters. However, Mensuration, statistics, probability and Algebra are some important chapters in this regard.

Case Study Question in Mathematics

Here are some examples of case study-based questions for class 10 Mathematics. To get more questions and model question papers for the 2021 examination, download myCBSEguide Mobile App .

Case Study Question – 1

In the month of April to June 2022, the exports of passenger cars from India increased by 26% in the corresponding quarter of 2021–22, as per a report. A car manufacturing company planned to produce 1800 cars in 4th year and 2600 cars in 8th year. Assuming that the production increases uniformly by a fixed number every year.

• Find the production in the 1 st year.
• Find the production in the 12 th year.
• Find the total production in first 10 years. OR In which year the total production will reach to 15000 cars?

Case Study Question – 2

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates and the distance formula is used to find the distance between two places. The distance between two parallel lines is approximately 150 km. A family from Uttar Pradesh planned a round trip from Lucknow (L) to Puri (P) via Bhuj (B) and Nashik (N) as shown in the given figure below.

• Find the distance between Lucknow (L) to Bhuj(B).
• If Kota (K), internally divide the line segment joining Lucknow (L) to Bhuj (B) into 3 : 2 then find the coordinate of Kota (K).
• Name the type of triangle formed by the places Lucknow (L), Nashik (N) and Puri (P) OR Find a place (point) on the longitude (y-axis) which is equidistant from the points Lucknow (L) and Puri (P).

Case Study Question – 3

• Find the distance PA.
• Find the distance PB
• Find the width AB of the river. OR Find the height BQ if the angle of the elevation from P to Q be 30 o .

Case Study Question – 4

• What is the length of the line segment joining points B and F?
• The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
• What are the coordinates of the point on y axis equidistant from A and G? OR What is the area of area of Trapezium AFGH?

Case Study Question – 5

The school auditorium was to be constructed to accommodate at least 1500 people. The chairs are to be placed in concentric circular arrangement in such a way that each succeeding circular row has 10 seats more than the previous one.

• If the first circular row has 30 seats, how many seats will be there in the 10th row?
• For 1500 seats in the auditorium, how many rows need to be there? OR If 1500 seats are to be arranged in the auditorium, how many seats are still left to be put after 10 th row?
• If there were 17 rows in the auditorium, how many seats will be there in the middle row?

Case Study Question – 6

• Draw a neat labelled figure to show the above situation diagrammatically.

• What is the speed of the plane in km/hr.

More Case Study Questions

We have class 10 maths case study questions in every chapter. You can download them as PDFs from the myCBSEguide App or from our free student dashboard .

As you know CBSE has reduced the syllabus this year, you should be careful while downloading these case study questions from the internet. You may get outdated or irrelevant questions there. It will not only be a waste of time but also lead to confusion.

Here, myCBSEguide is the most authentic learning app for CBSE students that is providing you up to date study material. You can download the myCBSEguide app and get access to 100+ case study questions for class 10 Maths.

How to Solve Case-Based Questions?

Questions based on a given case study are normally taken from real-life situations. These are certainly related to the concepts provided in the textbook but the plot of the question is always based on a day-to-day life problem. There will be all subjective-type questions in the case study. You should answer the case-based questions to the point.

What are Class 10 competency-based questions?

Competency-based questions are questions that are based on real-life situations. Case study questions are a type of competency-based questions. There may be multiple ways to assess the competencies. The case study is assumed to be one of the best methods to evaluate competencies. In class 10 maths, you will find 1-2 case study questions. We advise you to read the passage carefully before answering the questions.

Case Study Questions in Maths Question Paper

CBSE has released new model question papers for annual examinations. myCBSEguide App has also created many model papers based on the new format (reduced syllabus) for the current session and uploaded them to myCBSEguide App. We advise all the students to download the myCBSEguide app and practice case study questions for class 10 maths as much as possible.

Case Studies on CBSE’s Official Website

CBSE has uploaded many case study questions on class 10 maths. You can download them from CBSE Official Website for free. Here you will find around 40-50 case study questions in PDF format for CBSE 10th class.

10 Maths Case Studies in myCBSEguide App

You can also download chapter-wise case study questions for class 10 maths from the myCBSEguide app. These class 10 case-based questions are prepared by our team of expert teachers. We have kept the new reduced syllabus in mind while creating these case-based questions. So, you will get the updated questions only.

Test Generator

Create question paper PDF and online tests with your own name & logo in minutes.

Question Bank, Mock Tests, Exam Papers, NCERT Solutions, Sample Papers, Notes

Related Posts

• CBSE Class 10 Maths Sample Paper 2020-21
• Class 12 Maths Case Study Questions
• CBSE Reduced Syllabus Class 10 (2020-21)
• Class 10 Maths Basic Sample Paper 2024
• How to Revise CBSE Class 10 Maths in 3 Days
• CBSE Practice Papers 2023
• Class 10 Maths Sample Papers 2024
• Competency Based Learning in CBSE Schools

Leave a Comment

Save my name, email, and website in this browser for the next time I comment.

CBSE 10th Standard Maths Subject Coordinate Geometry Case Study Questions 2021

QB365 Provides the updated CASE Study Questions for Class 10 Maths, and also provide the detail solution for each and every case study questions . Case study questions are latest updated question pattern from NCERT, QB365 will helps to get  more marks in Exams

QB365 - Question Bank Software

10th Standard CBSE

Final Semester - June 2015

Case Study Questions

(ii) How far is the library from Shaguns house?

(iii) How far is the library from Alia's house?

(iv) Which of the following is true?

(v) How far is the school from Alia's house than Shaguns house?

(ii) The value of x is equal to

(iii) If M is any point exactly in between city A and city B, then coordinates of M are

(iv) The ratio in which A divides the line segment joining the points O and M is

(v) If the person analyse the petrol at the point M(the mid point of AB), then what should be his decision?

(ii) The distance of the bus stand from the house is

(iii) If the grocery store and electrician's shop lie on a line, the ratio of distance of house from grocery store to that from electrician's shop, is

(iv) The ratio of distances of house from bus stand to food cart is

(v) The coordinates of positions of bus stand, grocery store, food cart and electrician's shop form a

(ii) The centre of circle is the

(iii) The radius of the circle is

(iv) The area of the circle is

(v) If  \(\left(1, \frac{\sqrt{7}}{3}\right)\)   is one of the ends of a diameter, then its other end is

(ii) If S be the mid-point of line joining P and Q, then coordinates of S are

(iii) If T be the mid-point of line joining Rand Q, then coordinates of T are

(iv) If Ube the mid-point of line joining Rand P, then coordinates of U are

(v) The coordinates of centroid of \(\Delta\) STU are

*****************************************

Related 10th standard cbse maths materials, other 10th standard cbse materials.

CBSE 10th Social Science The Making Of A Global World Chapter Case Study Question with Answers

Cbse 10th social science nationalism in india chapter case study question with answers, cbse 10th social science the rise of nationalism in europe chapter case study question with answers.

CBSE 10th Science Metals And Non Metals Chapter Case Study Question with Answers

Cbse 10th science acids, bases and salts chapter case study question with answers, cbse 10th science chemical reactions and equations chapter case study question with answers, class 10th science - our environment case study questions and answers 2022 - 2023, class 10th science - magnetic effects of electric current case study questions and answers 2022 - 2023, class 10th science - electricity case study questions and answers 2022 - 2023, class 10th science - human eye and the colourful world case study questions and answers 2022 - 2023, class 10th science - light reflection and refraction case study questions and answers 2022 - 2023, class 10th science - heredity and evolution case study questions and answers 2022 - 2023, class 10th science - how do organisms reproduce case study questions and answers 2022 - 2023, class 10th science - life processes case study questions and answers 2022 - 2023, class 10th science - periodic classification of elements case study questions and answers 2022 - 2023, tamilnadu stateboard 10th standard cbse study materials.

Tamilnadu Stateboard 10th Standard CBSE Subjects

• Class 6 Maths
• Class 6 Science
• Class 6 Social Science
• Class 6 English
• Class 7 Maths
• Class 7 Science
• Class 7 Social Science
• Class 7 English
• Class 8 Maths
• Class 8 Science
• Class 8 Social Science
• Class 8 English
• Class 9 Maths
• Class 9 Science
• Class 9 Social Science
• Class 9 English
• Class 10 Maths
• Class 10 Science
• Class 10 Social Science
• Class 10 English
• Class 11 Maths
• Class 11 Computer Science (Python)
• Class 11 English
• Class 12 Maths
• Class 12 English
• Class 12 Economics
• Class 12 Accountancy
• Class 12 Physics
• Class 12 Chemistry
• Class 12 Biology
• Class 12 Computer Science (Python)
• Class 12 Physical Education
• GST and Accounting Course
• Excel Course
• Tally Course
• Finance and CMA Data Course
• Payroll Course

Interesting

• Learn English
• Learn Excel
• Learn Tally
• Learn GST (Goods and Services Tax)
• Learn Accounting and Finance
• GST Tax Invoice Format
• Accounts Tax Practical
• Tally Ledger List
• GSTR 2A - JSON to Excel

Are you in school ? Do you love Teachoo?

We would love to talk to you! Please fill this form so that we can contact you

You are learning...

Chapter 7 Class 10 Coordinate Geometry

Click on any of the links below to start learning from Teachoo ...

Updated for new NCERT Book for 2023-2024 Boards.

Get NCERT Solutions of all Exercise Questions and Examples of Chapter 7 Class 10 Coordinate Geometry. All questions have been solved in an easy to understand way with detailed explanation of each and every step.

Answers to optional exercise is also given

In Coordinate Geometry of Class 9, we learned what is x and y coordinate of a point. 

In this chapter, we will learn 

• Coordinates of points in x-axis (x, 0) and y-axis (0, y)
• How to find distance between two points using Distance Formula
• Checking if points form a triangle, or an isoceles triangle, or a square, rectangle. (To do this, we need to learn properties of parallelogram )
• Checking if 3 points are collinear using Distance Formula
• Finding points equidistant to given points
• Then, we will learn about Section Formula - Finding coordinates of a point that divides line joining two points in some ratio
• Finding coordinates of mid-point of a line using Section Formula
• Finding ratio when coordinates of point of intersection is given
• Using properties of parallelogram to do some questions on Section Formula (like finding coordinates of a point, when 4 vertices of parallelogram are given)
• Finding Area of triangle when coordinates of all 3 vertices are given
• Proving 3 points collinear using Area of Triangle Formula
• Finding Area of Quadrialteral using Area of Triangle Formula (dividing Quadrilateral into 2 triangles and finding area)

Click on an exercise link below to study from the NCERT Way.

Or you can click on a topic link below Concept wise to learn the Teachoo way.

Serial order wise

Concept wise.

What's in it?

Hi, it looks like you're using AdBlock :(

Please login to view more pages. it's free :), solve all your doubts with teachoo black.

The Site is down as we are performing important server maintenance, during which time the server will be unavailable for approximately 24 hours. Please hold off on any critical actions until we are finished. As always your feedback is appreciated.

• Study Packages
• NCERT Solutions
• Sample Papers
• Online Test

• Questions Bank
• Mathematics
• Coordinate Geometry
• Test Series
• Ncert Solutions
• Solved Papers
• Current Affairs
• JEE Main & Advanced
• Pre-Primary
• MP State Exams
• UP State Exams
• Rajasthan State Exams
• Jharkhand State Exams
• Chhattisgarh State Exams
• Bihar State Exams
• Haryana State Exams
• Gujarat State Exams
• MH State Exams
• Himachal State Exams
• Delhi State Exams
• Uttarakhand State Exams
• Punjab State Exams
• J&K State Exams

10th Class Mathematics Coordinate Geometry Question Bank

Done case based (mcqs) - coordinate geometry total questions - 35.

A) \[(2,3)\] and\[(6,5)\] done clear

B) \[(3,2)\] and \[(5,6)\] done clear

C) \[(3,6)\] and\[(5,2)\] done clear

D) \[(6,3)\] and \[(2,5)\] done clear

question_answer 2) What is the distance between Golu and Monu?

A) \[\sqrt{5}\] units done clear

B) \[2\sqrt{5}\] units done clear

C) \[3\sqrt{5}\] units done clear

D) \[4\sqrt{5}\] units done clear

question_answer 3) What will be the coordinates of a point exactly between Sonu and Goru where a person can be seated?

A)  \[\left( \frac{5}{2},\frac{9}{2} \right)\] done clear

B)  \[\left( \frac{11}{2},\frac{7}{2} \right)\] done clear

C)  \[(4,4)\] done clear

D)  \[\left( \frac{9}{2},4 \right)\] done clear

question_answer 4) Find the area covered by Sonu and its members, if all four seats connected with a rope.

A) \[\text{2}\sqrt{5}\,\text{sq}.\]units done clear

B) \[\sqrt{10}\,\text{sq}.\] units done clear

C) \[2\sqrt{10}\,\text{sq}.\] units done clear

D)  \[10\,\text{sq}.\] units done clear

question_answer 5) If the doctor divides the rope joining Sonu and Goru in the ratio \[1:2,\] then the coordinates of the seat of the doctor is:

A)  \[\left( \frac{10}{3},\frac{11}{3} \right)\] done clear

B)  \[\left( \frac{11}{3},\frac{10}{3} \right)\] done clear

D)  \[(3,4)\] done clear

A) \[\sqrt{41}\] units done clear

B)  3 units done clear

C)  6 units done clear

D)  7 units done clear

question_answer 7) Suppose point \[D(1,4)\] divide the line segment AB in the ratio \[k:1,\] then find the value of k.

A) \[3\] done clear

B) \[3/2\] done clear

C) \[2\] done clear

D)  \[1/2\] done clear

question_answer 8) If we draw perpendicular lines from points A and B to the X-axis. the region covered by these perpendicular lines is:

A)  4 sq. units done clear

B)  5 sq. units done clear

C)  20 sq. units done clear

D)  10 sq. units done clear

question_answer 9) Find the area of \[\Delta ABC\].

question_answer 10) Find the image of the mid-point of AB with respect ro X-axis.

A)  \[\left( \frac{1}{2},-4 \right)\] done clear

B)  \[\left( -\frac{1}{2},4 \right)\] done clear

C)  \[\left( \frac{1}{2},4 \right)\] done clear

D)  \[\left( -\frac{1}{2},-4 \right)\] done clear

A)  \[(4,9)\] done clear

B)  \[(5,9)\] done clear

C)  \[\left( \frac{9}{2},9 \right)\] done clear

D)  \[(4,8)\] done clear

question_answer 12) The type of triangle ABC is:

A)  equilateral triangle done clear

B)  isosceles triangle done clear

C)  scalene triangle done clear

D)  right triangle done clear

question_answer 13) The area of triangle RBP is:

A)  2 sq. units done clear

B)  4 sq. units done clear

C)  \[\frac{3}{2}sq.\] units done clear

D)  5 sq, units done clear

question_answer 14) The area of rectangle BCED is:

A)  8 sq. units done clear

B)  10 sq. units done clear

C)  12 sq. units done clear

D)  16 sq. units done clear

question_answer 15) The area of trapezium DEGF is:

A) \[(5,3)\] done clear

B) \[(6,3)\] done clear

C)  \[\left( \frac{11}{2},3 \right)\] done clear

D)  \[\left( 7,3 \right)\] done clear

question_answer 17) The distance between P and R is:

A)  3 units done clear

B) \[3.5\]units done clear

C)  \[3\sqrt{5}\] units done clear

D)  \[5\sqrt{5}\]units done clear

question_answer 18) The area of the triangle PQR is:

A)  21 sq. units done clear

B)  35 sq. units done clear

C)  42 sq, units done clear

D)  45 sq, units done clear

question_answer 19) The point on X-axis, which is equidistant from points Q and R is:

A)  \[\left( \frac{11}{2},0 \right)\] done clear

B)  \[(5,0)\] done clear

C)  \[(6,0)\] done clear

D)  \[(5,3)\] done clear

question_answer 20) The centroid of the triangle PQR is:

A)  \[(5,5)\] done clear

B) \[(6,5)\] done clear

C)  \[\left( \frac{17}{3},4 \right)\] done clear

D)  \[\left( \frac{17}{3},5 \right)\] done clear

A)  \[(1,5),\,(4,6),\,(7,2)\] done clear

B)  \[(2,4),\,(3,5),\,(6,3)\] done clear

C)  \[(1,4),\,(4,5),\,(7,3)\] done clear

D)  None of these done clear

question_answer 22) The perimeter of \[\Delta PQR\] is:

A)  \[(\sqrt{10}+5+3\sqrt{5})\] units done clear

B)    \[(\sqrt{10}+8\sqrt{5})\] units done clear

C)  \[(10+3\sqrt{5})\] units done clear

D)  \[(\sqrt{10}+5\sqrt{3})\] units done clear

question_answer 23) The coordinates of the point M on PR such that \[\text{PM}:\text{MR}=\text{2}:\text{1},\]is:

A) \[(4,3)\] done clear

B) \[(5,3)\] done clear

C) \[(5,4)\] done clear

D)  \[(2,3)\] done clear

question_answer 24)   What will be the coordinates of the vertices of \[\Delta PQR\] if C is the origin?

A)  \[(14,3),\,(11,2),(8,6)\] done clear

B)  \[(15,4),\,(12,3),(9,7)\] done clear

C)  \[(14,2),\,(11,1),(8,5)\] done clear

D)  \[(15,3),\,(12,2),(9,6)\] done clear

question_answer 25) What are the coordinates of P if D is taken as the origin?

A)  \[(-15,5)\] done clear

B) \[(15,5)\] done clear

C)  \[(15,7)\] done clear

D)  \[(15,3)\] done clear

A) \[(20,3)\] done clear

B) \[(3,20)\] done clear

C) \[(80,3)\] done clear

D) \[(3,80)\] done clear

question_answer 27) The coordinates of the blue flag is:

A) \[(7,16)\] done clear

B) \[(16,7)\] done clear

C) \[(80,7)\] done clear

D)  \[(7,80)\] done clear

question_answer 28) What is the distance between both the flags?

A) \[2\sqrt{2}m\] done clear

B) \[3\sqrt{2}m\]   done clear

C) \[4\sqrt{2}m\] done clear

D) \[5\sqrt{2}m\] done clear

question_answer 29) If Raman has to post a green flag exactly halfway between the line segment joining the two flags, where should he post his flag?

A)  16m on 4th line done clear

B)  16m on 5th line done clear

C)  18 m on 4th line done clear

D)  18m on 5th line done clear

question_answer 30) If Raman change his position and post a green flag at a point between the line segment joining the two flags, then the coordinate of the green flag which divides the Line : segment internally in the ratio \[1:2\] is:

A)  \[\left( \frac{13}{3},\frac{56}{3} \right)\] done clear

B)  \[\left( \frac{56}{3},\frac{13}{3} \right)\] done clear

C)  \[\left( \frac{13}{4},\frac{56}{3} \right)\] done clear

D)  \[\left( \frac{56}{3},\frac{13}{4} \right)\] done clear

A)  \[(7,6),\,(4,5),(1,2)\]and \[(4,3)\] done clear

B)  \[(1,2),(4,3),(7,6)\]and \[(4,5)\] done clear

C)  \[(4,5),(7,6),(4,3)\]and \[(1,2)\] done clear

D)  None of the above done clear

question_answer 32) When the points P, Q, R and S (in order) join together, it form a quadrilateral PQRS. The relation between the sides of quadrilateral PQRS is:

A) \[\text{QR}=S\text{P}\] and \[\text{PQ}=\text{RS}\] done clear

B) \[\text{PQ}=\text{QR}\] and \[\text{RS}=S\text{P}\] done clear

C) \[\text{PQ},\text{ QR},\text{ RS}\] and \[SP\] all are different done clear

question_answer 33) The Length of the diagonals PR and QS are:

A) \[\sqrt{10}\]and \[\sqrt{8}\]respectively done clear

B) \[2\] and \[\sqrt{52}\] respectively done clear

C) \[\sqrt{2}\] and \[\sqrt{10}\] respectively done clear

question_answer 34) The quadrilateral PQRS formed by these points is:

A)  a square done clear

B)  a rectangle done clear

C)  a parallelogram done clear

D)  a trapezium done clear

question_answer 35) The height of the quadrilateral PQRS taking SR as the base is:

A)  \[\frac{\sqrt{10}}{5}\]units done clear

B)  \[\frac{2\sqrt{10}}{5}\]units done clear

C)  \[3\sqrt{10}\]units done clear

D)  \[\frac{3\sqrt{10}}{5}\]units done clear

Study Package

Case Based (MCQs) - Coordinate Geometry

Related question.

Reset Password.

OTP has been sent to your mobile number and is valid for one hour

Mobile Number Verified

Your mobile number is verified.

• NCERT Solutions
• NCERT Solutions for Class 10
• NCERT Solutions for Class 10 Maths
• Chapter 7 Coordinate Geometry

NCERT Solutions For Class 10 Maths Chapter 7 - Coordinate Geometry

Ncert solutions for class 10 maths chapter 7 – cbse free pdf download.

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry covers all the exercises provided in the NCERT textbook. These NCERT solutions, prepared by experts at BYJU’S, are comprehensive study material for the students preparing for the CBSE Class 10 board examination. These solutions are available for easy access and download by the students. Here, you can get detailed stepwise answers to different types of questions provided in the NCERT textbook. Practising the Solutions of NCERT will help you attain perfection on the topics involved in the coordinate geometry chapter.

Download Exclusively Curated Chapter Notes for Class 10 Maths Chapter – 7 Coordinate Geometry

Download most important questions for class 10 maths chapter – 7 coordinate geometry.

• Chapter 1 Real Numbers
• Chapter 2 Polynomials
• Chapter 3 Pair of Linear Equations in Two Variables
• Chapter 4 Quadratic Equations
• Chapter 5 Arithmetic Progressions
• Chapter 6 Triangles
• Chapter 8 Introduction to Trigonometry
• Chapter 9 Some Applications of Trigonometry
• Chapter 10 Circles
• Chapter 11 Constructions
• Chapter 12 Areas Related to Circles
• Chapter 13 Surface Areas and Volumes
• Chapter 14 Statistics
• Chapter 15 Probability

NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

carouselExampleControls112

Previous Next

Access Answers to NCERT Solutions for Class 10 Maths Chapter 7

Exercise 7.1 page no: 161.

1. Find the distance between the following pairs of points:

(i) (2, 3), (4, 1)

(ii) (-5, 7), (-1, 3)

(iii) (a, b), (- a, – b)

Distance formula to find the distance between two points (x 1 , y 1 ) and (x 2 , y 2 ) is, say d,

2. Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns, A and B, discussed in Section 7.2?

Let us consider town A at point (0, 0). Therefore, town B will be at point (36, 15).

Distance between points (0, 0) and (36, 15)

In section 7.2, A is (4, 0) and B is (6, 0) AB 2 = (6 – 4) 2 – (0 – 0) 2 = 4

The distance between towns A and B will be 39 km. The distance between the two towns, A and B, discussed in Section 7.2, is 4 km.

3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.

Solution:   If the sum of the lengths of any two line segments is equal to the length of the third line segment, then all three points are collinear.

Consider, A = (1, 5) B = (2, 3) and C = (-2, -11)

Find the distance between points: say AB, BC and CA

Since AB + BC ≠ CA

Therefore, the points (1, 5), (2, 3), and (- 2, – 11) are not collinear.

4. Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.

Since two sides of any isosceles triangle are equal, to check whether given points are vertices of an isosceles triangle, we will find the distance between all the points.

Let the points (5, – 2), (6, 4), and (7, – 2) represent the vertices A, B and C, respectively.

This implies whether given points are vertices of an isosceles triangle.

5. In a classroom, 4 friends are seated at points A, B, C and D, as shown in Fig. 7.8. Champa and Chameli walk into the class, and after observing for a few minutes, Champa asks Chameli, “Don’t you think ABCD is a square?” Chameli disagrees. Using the distance formula, find which of them is correct.

From the figure, the coordinates of points A, B, C and D are (3, 4), (6, 7), (9, 4) and (6,1).

Find the distance between points using the distance formula, we get

All sides are of equal length. Therefore, ABCD is a square, and hence, Champa was correct.

6. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:

(i) (- 1, – 2), (1, 0), (- 1, 2), (- 3, 0)

(ii) (- 3, 5), (3, 1), (0, 3), (- 1, – 4)

(iii) (4, 5), (7, 6), (4, 3), (1, 2)

(i) Let the points (- 1, – 2), (1, 0), ( – 1, 2), and ( – 3, 0) represent the vertices A, B, C, and D of the given quadrilateral, respectively.

Side length = AB = BC = CD = DA = 2√2

Diagonal Measure = AC = BD = 4

Therefore, the given points are the vertices of a square.

(ii) Let the points (- 3, 5), (3, 1), (0, 3), and (- 1, – 4) represent the vertices A, B, C, and D of the given quadrilateral, respectively.

It’s also seen that points A, B and C are collinear. So, the given points can only form 3 sides, i.e. a triangle and not a quadrilateral which has 4 sides. Therefore, the given points cannot form a general quadrilateral.

(iii) Let the points (4, 5), (7, 6), (4, 3), and (1, 2) represent the vertices A, B, C, and D of the given quadrilateral, respectively.

Opposite sides of this quadrilateral are of the same length. However, the diagonals are of different lengths. Therefore, the given points are the vertices of a parallelogram.

7. Find the point on the x-axis which is equidistant from (2, – 5) and (- 2, 9).

To find a point on the x-axis.

Therefore, its y-coordinate will be 0. Let the point on the x-axis be (x,0).

Consider A = (x, 0); B = (2, – 5) and C = (- 2, 9).

Simplify the above equation,

Remove the square root by taking square on both sides, we get

(2 – x) 2 + 25 = [-(2 + x)] 2  + 81

(2 – x) 2 + 25 = (2 + x) 2  + 81

x 2  + 4 – 4x + 25 = x 2  + 4 + 4x + 81

8x = 25 – 81 = -56

Therefore, the point is (- 7, 0).

8. Find the values of y for which the distance between the points P (2, – 3) and Q (10, y) is 10 units.

Given: Distance between (2, – 3) and (10, y) is 10.

Using the distance formula,

Simplify the above equation and find the value of y.

Squaring both sides,

64 + (y + 3) 2 = 100

(y + 3) 2 = 36

y + 3 = +6 or y + 3 = −6

y = 6 – 3 = 3 or y = – 6 – 3 = -9

Therefore, y = 3 or -9.

9. If Q (0, 1) is equidistant from P (5, – 3) and R (x, 6), find the values of x. Also, find the distance QR and PR.

Given: Q (0, 1) is equidistant from P (5, – 3) and R (x, 6), which means PQ = QR

Step 1: Find the distance between PQ and QR using the distance formula,

Squaring both sides to omit square root

41 = x 2  + 25

x = 4 or x = -4

Coordinates of Point R will be R (4, 6) or R (-4, 6),

If R (4, 6), then QR

10. Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (- 3, 4).

Point (x, y) is equidistant from (3, 6) and (- 3, 4).

Squaring both sides, (x – 3) 2 +(y – 6) 2 = (x + 3) 2 +(y – 4) 2

x 2 + 9 – 6x + y 2 + 36 – 12y = x 2 + 9 + 6x + y 2 +16 – 8y

36 – 16 = 6x + 6x + 12y – 8y

20 = 12x + 4y

3x + y – 5 = 0

Exercise 7.2 Page No: 167

1. Find the coordinates of the point which divides the join of (- 1, 7) and (4, – 3) in the ratio 2:3.

Let P(x, y) be the required point. Using the section formula, we get

x = (2×4 + 3×(-1))/(2 + 3) = (8 – 3)/5 = 1

y = (2×-3 + 3×7)/(2 + 3) = (-6 + 21)/5 = 3

Therefore, the point is (1, 3).

2. Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).

Let P (x 1 , y 1 ) and Q (x 2 , y2) be the points of trisection of the line segment joining the given points, i.e. AP = PQ = QB

Therefore, point P divides AB internally in the ratio 1:2.

x 1 = (1×(-2) + 2×4)/3 = (-2 + 8)/3 = 6/3 = 2

y 1 = (1×(-3) + 2×(-1))/(1 + 2) = (-3 – 2)/3 = -5/3

Therefore: P (x 1 , y 1 ) = P(2, -5/3)

Point Q divides AB internally in the ratio 2:1.

x 2 = (2×(-2) + 1×4)/(2 + 1) = (-4 + 4)/3 = 0

y 2 = (2×(-3) + 1×(-1))/(2 + 1) = (-6 – 1)/3 = -7/3

The coordinates of the point Q are (0, -7/3)

3. To conduct sports day activities in your rectangular-shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs 1/4th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th the distance AD on the eighth line and posts a red flag. What is the distance between both flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

From the given instruction, we observed that Niharika posted the green flag at 1/4 th of the distance AD, i.e. (1/4 ×100) m = 25 m from the starting point of the 2nd line. Therefore, the coordinates of this point are (2, 25).

Similarly, Preet posted a red flag at 1/5 of the distance AD, i.e. (1/5 ×100) m = 20 m from the starting point of the 8th line. Therefore, the coordinates of this point are (8, 20).

Distance between these flags can be calculated by using the distance formula,

The point at which Rashmi should post her blue flag is the mid-point of the line joining these points. Let’s say this point is P(x, y).

x = (2 + 8)/2 = 10/2 = 5 and y = (20 + 25)/2 = 45/2

Hence, P( x , y ) = (5, 45/2)

Therefore, Rashmi should post her blue flag at 45/2 = 22.5m on the 5th line.

4. Find the ratio in which the line segment joining the points (-3, 10) and (6, – 8) is divided by (-1, 6).

Consider the ratio in which the line segment joining (-3, 10) and (6, -8) is divided by point (-1, 6) be k :1.

Therefore, -1 = ( 6 k -3)/( k +1)

– k – 1 = 6 k -3

Therefore, the required ratio is 2: 7.

5. Find the ratio in which the line segment joining A (1, – 5) and B (- 4, 5) is divided by the x-axis. Also, find the coordinates of the point of division.

Let the ratio in which the line segment joining A (1, – 5) and B (- 4, 5) is divided by the x-axis be k:1. Therefore, the coordinates of the point of division, say P(x, y) is ((-4 k +1)/( k +1), (5 k -5)/( k +1)).

We know that the y-coordinate of any point on the x-axis is 0.

Therefore, ( 5k – 5)/(k + 1) = 0

So, the x -axis divides the line segment in the ratio 1:1.

Now, find the coordinates of the point of division:

P (x, y) = ((-4(1)+1)/(1+1) , (5(1)-5)/(1+1)) = (-3/2 , 0)

6. If (1, 2), (4, y ), ( x , 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y .

Let A, B, C and D be the points of a parallelogram: A(1, 2), B(4, y ), C( x , 6) and D(3, 5).

Since the diagonals of a parallelogram bisect each other, the midpoint is the same.

To find the value of x and y, solve for the midpoint first.

Midpoint of AC = ( (1+x)/2 , (2+6)/2 ) = ((1+x)/2 , 4)

Midpoint of BD = ((4+3)/2 , (5+y)/2 ) = (7/2 , (5+y)/2)

The midpoint of AC and BD are the same, this implies

(1+x)/2 = 7/2 and 4 = (5+y)/2

x + 1 = 7 and 5 + y = 8

x = 6 and y = 3

7. Find the coordinates of point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4).

Let the coordinates of point A be ( x , y ).

Mid-point of AB is (2, – 3), which is the centre of the circle.

Coordinate of B = (1, 4)

(2, -3) =((x+1)/2 , (y+4)/2)

(x+1)/2 = 2 and (y+4)/2 = -3

x + 1 = 4 and y + 4 = -6

x = 3 and y = -10

The coordinates of A(3,-10).

8. If A and B are (-2, -2) and (2, -4), respectively, find the coordinates of P such that AP = 3/7 AB and P lies on the line segment AB.

The coordinates of points A and B are (-2,-2) and (2,-4), respectively.

Since AP = 3/7 AB

Therefore, AP:PB = 3:4

Point P divides the line segment AB in the ratio 3:4.

9. Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts.

Draw a figure, line dividing by 4 points.

From the figure, it can be observed that points X, Y, and Z are dividing the line segment in a ratio 1:3, 1:1, and 3:1, respectively.

10. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4), and (-2,-1) taken in order.

[Hint: Area of a rhombus = 1/2 (product of its diagonals)

Let A(3, 0), B (4, 5), C( – 1, 4) and D ( – 2, – 1) are the vertices of a rhombus ABCD.

Exercise 7.3 Page No: 170

1. Find the area of the triangle whose vertices are:

(i) (2, 3), (-1, 0), (2, -4)

(ii) (-5, -1), (3, -5), (5, 2)

Area of a triangle formula = 1/2 × [x 1 (y 2 – y 3 ) + x 2 (y 3 – y 1 ) + x 3 (y 1 – y 2 )]

x 1 = 2, x 2 = -1, x 3 = 2, y 1 = 3, y 2 = 0 and y 3 = -4

Substitute all the values in the above formula, we get

Area of triangle = 1/2 [2 {0- (-4)} + (-1) {(-4) – (3)} + 2 (3 – 0)]

= 1/2 {8 + 7 + 6}

So, the area of the triangle is 21/2 square units.

x 1 = -5, x 2 = 3, x 3 = 5, y 1 = -1, y 2 = -5 and y 3 = 2

Area of the triangle = 1/2 [-5 { (-5)- (2)} + 3(2-(-1)) + 5{-1 – (-5)}]

= 1/2{35 + 9 + 20} = 32

Therefore, the area of the triangle is 32 square units.

2. In each of the following, find the value of ‘k’, for which the points are collinear.

(i) (7, -2), (5, 1), (3, -k)

(ii) (8, 1), (k, -4), (2, -5)

(i) For collinear points, the area of triangle formed by them is always zero.

Let points (7, -2), (5, 1), and (3, k) are vertices of a triangle.

Area of triangle = 1/2 [7 { 1- k} + 5(k-(-2)) + 3{(-2) – 1}] = 0

7 – 7k + 5k +10 -9 = 0

-2k + 8 = 0

(ii) For collinear points, the area of triangle formed by them is zero.

Therefore, for points (8, 1), (k, – 4), and (2, – 5), area = 0

1/2 [8 { -4- (-5)} + k{(-5)-(1)} + 2{1 -(-4)}] = 0

8 – 6k + 10 = 0

3. Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.

Let the vertices of the triangle be A (0, -1), B (2, 1), and C (0, 3).

Let D, E, and F be the mid-points of the sides of this triangle.

Coordinates of D, E, and F are given by

D = (0+2/2, -1+1/2 ) = (1, 0)

E = ( 0+0/2, -1+3/2 ) = (0, 1)

F = ( 0+2/2, 3+1/2 ) = (1, 2)

Area of a triangle = 1/2 × [x 1 (y 2 – y 3 ) + x 2 (y 3 – y 1 ) + x 3 (y 1 – y 2 )]

Area of ΔDEF = 1/2 {1(2-1) + 1(1-0) + 0(0-2)} = 1/2 (1+1) = 1

The area of ΔDEF is 1 square unit

Area of ΔABC = 1/2 [0(1-3) + 2{3-(-1)} + 0(-1-1)] = 1/2 {8} = 4

The area of ΔABC is 4 square units

Therefore, the required ratio is 1:4.

4. Find the area of the quadrilateral whose vertices, taken in order, are

(-4, -2), (-3, -5), (3, -2) and (2, 3).

Let the vertices of the quadrilateral be A (- 4, – 2), B ( – 3, – 5), C (3, – 2), and D (2, 3).

Join AC and divide the quadrilateral into two triangles.

We have two triangles, ΔABC and ΔACD.

Area of ΔABC = 1/2 [(-4) {(-5) – (-2)} + (-3) {(-2) – (-2)} + 3 {(-2) – (-5)}]

= 1/2 (12 + 0 + 9)

= 21/2 square units

Area of ΔACD = 1/2 [(-4) {(-2) – (3)} + 3{(3) – (-2)} + 2 {(-2) – (-2)}]

= 1/2 (20 + 15 + 0)

= 35/2 square units

Area of quadrilateral ABCD = Area of ΔABC + Area of ΔACD

= (21/2 + 35/2) square units = 28 square units

5. You have studied in Class IX that a median of a triangle divides it into two triangles of equal areas. Verify this result for ΔABC, whose vertices are A (4, – 6), B (3, – 2) and C (5, 2).

Let the vertices of the triangle be A (4, -6), B (3, -2), and C (5, 2).

Let D be the mid-point of side BC of ΔABC. Therefore, AD is the median in ΔABC.

Coordinates of point D = Midpoint of BC = ((3+5)/2, (-2+2)/2) = (4, 0)

Formula, to find area of a triangle = 1/2 × [x 1 (y 2 – y 3 ) + x 2 (y 3 – y 1 ) + x 3 (y 1 – y 2 )]

Now, a rea of ΔABD = 1/2 [(4) {(-2) – (0)} + 3{(0) – (-6)} + (4) {(-6) – (-2)}]

= 1/2 (-8 + 18 – 16)

= -3 square units

However, the area cannot be negative. Therefore, the area of ΔABD is 3 square units.

Area of ΔACD = 1/2 [(4) {0 – (2)} + 4{(2) – (-6)} + (5) {(-6) – (0)}]

= 1/2 (-8 + 32 – 30) = -3 square units

However, the area cannot be negative. Therefore, the area of ΔACD is 3 square units.

The area of both sides is the same. Thus, median AD has divided ΔABC into two triangles of equal areas.

Exercise 7.4 Page No: 171

1. Determine the ratio in which the line 2x + y – 4 = 0 divides the line segment joining the points A(2, –2) and B(3, 7).

Consider line 2x + y – 4 = 0 divides line AB joined by the two points A(2, -2) and B(3, 7) in k:1 ratio.

Coordinates of point of division can be given as follows:

x = (2 + 3k)/(k + 1) and y = (-2 + 7k)/(k + 1)

Substituting the values of x and y given equation, i.e. 2x + y – 4 = 0, we have

2{(2 + 3k)/(k + 1)} + {(-2 + 7k)/(k + 1)} – 4 = 0

(4 + 6k)/(k + 1) + (-2 + 7k)/(k + 1) = 4

4 + 6k – 2 + 7k = 4(k+1)

-2 + 9k = 0

Hence, the ratio is 2:9.

2. Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

If given points are collinear, then the area of the triangle formed by them must be zero.

Let (x, y), (1, 2) and (7, 0) are vertices of a triangle,

Area of a triangle = 1/2 × [x 1 (y 2 – y 3 ) + x 2 (y 3 – y 1 ) + x 3 (y 1 – y 2 )] = 0

2x – y + 7y – 14 = 0

2x + 6y – 14 = 0

x + 3y – 7 = 0.

Which is the required result.

3. Find the centre of a circle passing through points (6, -6), (3, -7) and (3, 3).

Let A = (6, -6), B = (3, -7), and C = (3, 3) are the points on a circle.

If O is the centre, then OA = OB = OC (radii are equal)

If O = (x, y), then

OA = √[(x – 6) 2  + (y + 6) 2 ]

OB = √[(x – 3) 2  + (y + 7) 2 ]

OC = √[(x – 3) 2  + (y – 3) 2 ]

Choose: OA = OB, we have

After simplifying above, we get -6x = 2y – 14 ….(1)

Similarly, OB = OC

(x – 3) 2 + (y + 7) 2 = (x – 3) 2 + (y – 3) 2

(y + 7) 2 = (y – 3) 2

y 2 + 14y + 49 = y 2 – 6y + 9

Substituting the value of y in equation (1), we get

-6x = 2y – 14

-6x = -4 – 14 = -18

Hence, the centre of the circle is located at point (3,-2).

4. The two opposite vertices of a square are (-1, 2) and (3, 2). Find the coordinates of the other two vertices.

Let ABCD is a square, where A(-1,2) and B(3,2). And Point O is the point of intersection of AC and BD.

To Find: Coordinate of points B and D.

Step 1: Find the distance between A and C and the coordinates of point O.

We know that the diagonals of a square are equal and bisect each other.

AC = √[(3 + 1) 2  + (2 – 2) 2 ] = 4

Coordinates of O can be calculated as follows:

x = (3 – 1)/2 = 1 and y = (2 + 2)/2 = 2

Step 2: Find the side of the square using the Pythagoras theorem

Let a be the side of the square and AC = 4

From the right triangle, ACD,

Hence, each side of the square = 2√2

Step 3: Find the coordinates of point D

Equate the length measure of AD and CD

Say, if the coordinates of D are (x 1 , y 1 )

AD = √[(x 1 + 1) 2  + (y 1 – 2) 2 ]

AD 2 = (x 1 + 1) 2  + (y 1 – 2) 2

Similarly, CD 2 = (x 1  – 3) 2  + (y 1 – 2) 2

Since all sides of a square are equal, which means AD = CD

(x 1 + 1) 2  + (y 1 – 2) 2 = (x 1  – 3) 2  + (y 1 – 2) 2

x 1 2 + 1 + 2x 1 = x 1 2 + 9 – 6x 1

The value of y 1 can be calculated as follows by using the value of x.

From step 2: each side of the square = 2√2

CD 2 = (x 1  – 3) 2  + (y 1 – 2) 2

8 = (1 – 3) 2  + (y 1 – 2) 2

8 = 4 + (y 1 – 2) 2

y 1 – 2 = 2

Hence, D = (1, 4)

Step 4: Find the coordinates of point B

From line segment, BOD

Coordinates of B can be calculated using coordinates of O, as follows:

Earlier, we had calculated O = (1, 2)

Say B = (x 2 , y 2 )

1 = (x 2 + 1)/2

And 2 = (y 2 + 4)/2

=> y 2 = 0

Therefore, the coordinates of required points are B = (1,0) and D = (1,4)

5. The class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m from each other. There is a triangular lawn in the plot, as shown in fig. 7.14. The students are to sow the seeds of flowering plants on the remaining area of the plot.

(i) Taking A as the origin, find the coordinates of the vertices of the triangle.

(ii) What will be the coordinates of the vertices of triangle PQR if C is the origin?

Also, calculate the areas of the triangles in these cases. What do you observe?

(i) Taking A as the origin, the coordinates of the vertices P, Q and R are,

From figure: P = (4, 6), Q = (3, 2), R (6, 5)

Here, AD is the x-axis and AB is the y-axis.

(ii) Taking C as the origin,

The coordinates of vertices P, Q and R are ( 12, 2), (13, 6) and (10, 3), respectively.

Here, CB is the x-axis and CD is the y-axis.

Find the area of triangles:

Area of triangle PQR in case of origin A:

Using formula: Area of a triangle = 1/2 × [x 1 (y 2 – y 3 ) + x 2 (y 3 – y 1 ) + x 3 (y 1 – y 2 )]

= ½ [4(2 – 5) + 3 (5 – 6) + 6 (6 – 2)]

= ½ (- 12 – 3 + 24 )

= 9/2 sq unit

(ii) Area of triangle PQR in case of origin C:

= ½ [ 12(6 – 3) + 13 ( 3 – 2) + 10( 2 – 6)]

= ½ ( 36 + 13 – 40)

This implies, Area of triangle PQR at origin A = Area of triangle PQR at origin C

The area is the same in both cases because the triangle remains the same no matter which point is considered as the origin.

6. The vertices of a ∆ ABC are A (4, 6), B (1, 5) and C (7, 2). A line is drawn to intersect sides AB and AC at D and E, respectively, such that AD/AB = AE/AC = 1/4. Calculate the area of the ∆ ADE and compare it with the area of ∆ ABC. (Recall Theorem 6.2 and Theorem 6.6)

Given: The vertices of a ∆ ABC are A (4, 6), B (1, 5) and C (7, 2)

AD/AB = AE/AC = 1/4

AD/(AD + BD) = AE/(AE + EC) = 1/4

Point D and Point E divide AB and AC, respectively, in ratio 1:3.

Coordinates of D can be calculated as follows:

x = (m 1 x 2 + m 2 x 1 )/(m 1 + m 2 ) and y = (m 1 y 2 + m 2 y 1 )/(m 1 + m 2 )

Here, m 1 = 1 and m 2 = 3

Consider line segment AB which is divided by point D at the ratio 1:3.

x = [3(4) + 1(1)]/4 = 13/4

y = [3(6) + 1(5)]/4 = 23/4

Similarly, the coordinates of E can be calculated as follows:

x = [1(7) + 3(4)]/4 = 19/4

y = [1(2) + 3(6)]/4 = 20/4 = 5

Find the area of triangle:

The area of triangle ∆ ABC can be calculated as follows:

= ½ [4(5 – 2) + 1( 2 – 6) + 7( 6 – 5)]

= ½ (12 – 4 + 7) = 15/2 sq unit

The area of ∆ ADE can be calculated as follows:

= ½ [4(23/4 – 5) + 13/4 (5 – 6) + 19/4 (6 – 23/4)]

= ½ (3 – 13/4 + 19/16)

= ½ ( 15/16 ) = 15/32 sq unit

Hence, the ratio of the area of triangle ADE to the area of triangle ABC = 1:16.

7. Let A (4, 2), B (6, 5), and C (1, 4) be the vertices of ∆ ABC.

(i) The median from A meets BC at D. Find the coordinates of point D.

(ii) Find the coordinates of the point P on AD such that AP:PD = 2:1.

(iii) Find the coordinates of points Q and R on medians BE and CF, respectively, such that BQ:QE = 2:1 and CR:RF = 2:1.

(iv) What do you observe?

[Note: The point which is common to all the three medians is called the centroid,

and this point divides each median in the ratio 2:1.]

(v) If A (x 1 , y 1 ), B (x 2 , y 2 ) and C (x 3 , y 3 ) are the vertices of triangle ABC, find the coordinates of the centroid of the triangle.

(i) Coordinates of D can be calculated as follows:

Coordinates of D = ( (6+1)/2, (5+4)/2 ) = (7/2, 9/2)

So, D is (7/2, 9/2)

(ii) Coordinates of P can be calculated as follows:

Coordinates of P = ( [2(7/2) + 1(4)]/(2 + 1), [2(9/2) + 1(2)]/(2 + 1) ) = (11/3, 11/3)

So, P is (11/3, 11/3)

(iii) Coordinates of E can be calculated as follows:

Coordinates of E = ( (4+1)/2, (2+4)/2 ) = (5/2, 6/2) = (5/2 , 3)

So, E is (5/2, 3)

Points Q and P would be coincident because the medians of a triangle intersect each other at a common point called the centroid. Coordinate of Q can be given as follows:

Coordinates of Q =( [2(5/2) + 1(6)]/(2 + 1), [2(3) + 1(5)]/(2 + 1) ) = (11/3, 11/3)

F is the midpoint of the side AB

Coordinates of F = ( (4+6)/2, (2+5)/2 ) = (5, 7/2)

Point R divides the side CF in ratio 2:1

Coordinates of R = ( [2(5) + 1(1)]/(2 + 1), [2(7/2) + 1(4)]/(2 + 1) ) = (11/3, 11/3)

(iv) Coordinates of P, Q and R are the same, which shows that medians intersect each other at a common point, i.e. centroid of the triangle.

(v) If A (x 1 , y 1 ), B (x 2 , y 2 ) and C (x 3 , y 3 ) are the vertices of triangle ABC, the coordinates of the centroid can be given as follows:

x = (x 1 + x 2 + x 3 )/3 and y = (y 1 + y 2 + y 3 )/3

8. ABCD is a rectangle formed by the points A (-1, – 1), B (-1, 4), C (5, 4) and D (5, -1). P, Q, R and S are the midpoints of AB, BC, CD and DA, respectively. Is the quadrilateral PQRS a square, a rectangle or a rhombus? Justify your answer.

P id the midpoint of side AB,

Coordinate of P = ( (-1 – 1)/2, (-1 + 4)/2 ) = (-1, 3/2)

Similarly, Q, R and S are (As Q is the midpoint of BC, R is the midpoint of CD and S is the midpoint of AD)

Coordinate of Q = (2, 4)

Coordinate of R = (5, 3/2)

Coordinate of S = (2, -1)

Length of PQ = √[(-1 – 2) 2 + (3/2 – 4) 2 ] = √(61/4) = √61/2

Length of SP = √[(2 + 1) 2 + (-1 – 3/2) 2 ] = √(61/4) = √61/2

Length of QR = √[(2 – 5) 2 + (4 – 3/2) 2 ] = √(61/4) = √61/2

Length of RS = √[(5 – 2) 2 + (3/2 + 1) 2 ] = √(61/4) = √61/2

Length of PR (diagonal) = √[(-1 – 5) 2 + (3/2 – 3/2) 2 ] = 6

Length of QS (diagonal) = √[(2 – 2) 2 + (4 + 1) 2 ] = 5

The above values show that PQ = SP = QR = RS = √61/2, i.e. all sides are equal.

But PR ≠ QS, i.e. diagonals are not of equal measure.

Hence, the given figure is a rhombus.

This chapter comes under Unit-Coordinate Geometry and has a weightage of 6 marks in the board examination. There will be one mark MCQ questions, 2 marks reasoning questions, and 3 marks short answer questions. This chapter has fundamental concepts that lay the foundation for your future studies.

Sub-topics of Class 10 Chapter 7 Coordinate Geometry

• Introduction to Coordinate Geometry
• Distance Formula
• Section Formula
• Area of the Triangle

List of Exercises from Class 10 Maths Chapter 7 Coordinate Geometry

Exercise 7.1 – 10 Questions, which includes 8 practical-based questions, 2 reasoning questions Exercise 7.2 – 10 Questions, which includes 8 long answer questions, 2 short answer questions Exercise 7.3 – 5 Questions, which includes 3 long answer questions, 2 practical-based questions Exercise 7.4 – 8 Questions, which includes 6 long answer questions, 1 practical-based question, 1 reasoning question

NCERT Solutions are carefully drafted to assist the student in scoring good marks in the examination. It provides you with much-needed problem-solving practice.

This chapter deals with finding the area between two points whose coordinate values are provided. For instance, the area of a triangle. This chapter has some basic concepts like the area of a triangle, rhombus, the distance between sides, and intersections. This chapter teaches you the relationship between numerical and geometry and their application in our daily lives.

These  NCERT Solutions for Class 10 Maths have different types of questions and their answers which will help you with alternate solutions and diagrammatic representation. The solutions provided here are written in simple language with apt information. By studying these NCERT Solutions thoroughly, students will be able to solve complex problems easily.

Key Features of NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry

• The solution has all the exercise questions provided in the NCERT textbook.
• Diagrammatic representations and alternate methods will help you understand the concepts thoroughly.
• Solving these NCERT Solutions will make you acquainted with important formulas and standards.
• This NCERT Solution has different examples that will help you relate to real-life examples to relate geometry and numerical.

BYJU’S is India’s top online education provider with the country’s best teachers on board. You can get NCERT study materials on BYJU’S site and application. To get access to all the study materials, visit BYJU’S website or download BYJU’S learning App.

To provide students with more problems for practice, we at BYJU’S also provide solutions for other textbooks which can be accessed absolutely free of cost.

• RD Sharma Solutions for Class 10 Maths Chapter 14 Coordinate Geometry

Disclaimer – 

Dropped Topics –  7.4 Area of a triangle

Frequently Asked Questions on NCERT Solutions for Class 10 Maths Chapter 7

How are ncert solutions for class 10 maths chapter 7 helpful for cbse exams, mention the topics that are covered in ncert solutions for class 10 maths chapter 7., is it necessary to practise all the exercises present in chapter 7 of ncert solutions for class 10 maths, leave a comment cancel reply.

Your Mobile number and Email id will not be published. Required fields are marked *

Request OTP on Voice Call

Post My Comment

• Share Share

Register with BYJU'S & Download Free PDFs

Register with byju's & watch live videos.

Trial Class

• Andhra Pradesh
• Chhattisgarh
• West Bengal
• Madhya Pradesh
• Maharashtra
• Jammu & Kashmir
• NCERT Books 2022-23
• NCERT Solutions
• NCERT Notes
• NCERT Exemplar Books
• NCERT Exemplar Solution
• States UT Book
• School Kits & Lab Manual
• NCERT Books 2021-22
• NCERT Books 2020-21
• NCERT Book 2019-2020
• NCERT Book 2015-2016
• RD Sharma Solution
• TS Grewal Solution
• DK Goel Solution
• TR Jain Solution
• Selina Solution
• Frank Solution
• ML Aggarwal Solution
• Lakhmir Singh and Manjit Kaur Solution
• I.E.Irodov solutions
• ICSE - Goyal Brothers Park
• ICSE - Dorothy M. Noronhe
• Sandeep Garg Textbook Solution
• Micheal Vaz Solution
• S.S. Krotov Solution
• Evergreen Science
• KC Sinha Solution
• ICSE - ISC Jayanti Sengupta, Oxford
• ICSE Focus on History
• ICSE GeoGraphy Voyage
• ICSE Hindi Solution
• ICSE Treasure Trove Solution
• Thomas & Finney Solution
• SL Loney Solution
• SB Mathur Solution
• P Bahadur Solution
• Narendra Awasthi Solution
• MS Chauhan Solution
• LA Sena Solution
• Integral Calculus Amit Agarwal Solution
• IA Maron Solution
• Hall & Knight Solution
• Errorless Solution
• Pradeep's KL Gogia Solution
• OP Tandon Solutions
• Sample Papers
• Previous Year Question Paper
• Value Based Questions
• CBSE Syllabus
• CBSE MCQs PDF
• Assertion & Reason
• New Revision Notes
• Revision Notes
• HOTS Question
• Marks Wise Question
• Toppers Answer Sheets
• Exam Paper Aalysis
• Concept Map
• CBSE Text Book
• Additional Practice Questions
• Vocational Book
• CBSE - Concept
• KVS NCERT CBSE Worksheets
• Formula Class Wise
• Formula Chapter Wise
• JEE Crash Course
• JEE Previous Year Paper
• Important Info
• JEE Mock Test
• JEE Sample Papers
• SRM-JEEE Mock Test
• VITEEE Mock Test
• BITSAT Mock Test
• Manipal Engineering Mock Test
• AP EAMCET Previous Year Paper
• COMEDK Previous Year Paper
• GUJCET Previous Year Paper
• KCET Previous Year Paper
• KEAM Previous Year Paper
• Manipal Previous Year Paper
• MHT CET Previous Year Paper
• WBJEE Previous Year Paper
• AMU Previous Year Paper
• TS EAMCET Previous Year Paper
• SRM-JEEE Previous Year Paper
• VITEEE Previous Year Paper
• BITSAT Previous Year Paper
• Crash Course
• Previous Year Paper
• NCERT Based Short Notes
• NCERT Based Tests
• NEET Sample Paper
• Previous Year Papers
• Quantitative Aptitude
• Numerical Aptitude Data Interpretation
• General Knowledge
• Mathematics
• Agriculture
• Accountancy
• Business Studies
• Political science
• Enviromental Studies
• Mass Media Communication
• Teaching Aptitude
• NAVODAYA VIDYALAYA
• SAINIK SCHOOL (AISSEE)
• Mechanical Engineering
• Electrical Engineering
• Electronics & Communication Engineering
• Civil Engineering
• Computer Science Engineering
• CBSE Board News
• Scholarship Olympiad
• School Admissions
• Entrance Exams
• All Board Updates
• Miscellaneous
• State Wise Books
• Engineering Exam
• STATE WISE BOOKS
• ENGINEERING EXAM
• SCHOLARSHIP OLYMPIAD
• STATE BOOKS

CBSE Class 10 Maths Case Study

CBSE Board has introduced the case study questions for the ongoing academic session 2021-22. The board will ask the paper on the basis of a different exam pattern which has been introduced this year where 50% syllabus is occupied for MCQ for Term 1 exam. Selfstudys has provided below the chapter-wise questions for CBSE Class 10 Maths. Students must solve these case study based problems as soon as they are done with their syllabus. 

These case studies are in the form of Multiple Choice Questions where students need to answer them as asked in the exam. The MCQs are not that difficult but having a deep and thorough understanding of NCERT Maths textbooks are required to answer these. Furthermore, we have provided the PDF File of CBSE Class 10 maths case study 2021-2022.

Class 10 Maths (Formula, Case Based, MCQ, Assertion Reason Question with Solutions)

In order to score good marks in the term 1 exam students must be aware of the Important formulas, Case Based Questions, MCQ and Assertion Reasons with solutions. Solving these types of questions is important because the board will ask them in the Term 1 exam as per the changed exam pattern of CBSE Class 10th.

Important formulas should be necessarily learned by the students because the case studies are solved with the help of important formulas. Apart from that there are assertion reason based questions that are important too. 

Assertion Reasoning is a kind of question in which one statement (Assertion) is given and its reason is given (Explanation of statement). Students need to decide whether both the statement and reason are correct or not. If both are correct then they have to decide whether the given reason supports the statement or not. In such ways, assertion reasoning questions are being solved. However, for doing so and getting rid of confusions while solving. Students are advised to practice these as much as possible.

For doing so we have given the PDF that has a bunch of MCQs questions based on case based, assertion, important formulas, etc. All the Multiple Choice problems are given with detailed explanations.

CBSE Class 10th Case study Questions

Recently CBSE Board has the exam pattern and included case study questions to make the final paper a little easier. However, Many students are nervous after hearing about the case based questions. They should not be nervous because case study are easy and given in the board papers to ease the Class 10th board exam papers. However to answer them a thorough understanding of the basic concepts are important. For which students can refer to the NCERT textbook.

Basically, case study are the types of questions which are developed from the given data. In these types of problems, a paragraph or passage is given followed by the 5 questions that are given to answer . These types of problems are generally easy to answer because the data are given in the passage and students have to just analyse and find those data to answer the questions.

CBSE Class 10th Assertion Reasoning Questions

These types of questions are solved by reading the statement, and given reason. Sometimes these types of problems can make students confused. To understand the assertion and reason, students need to know that there will be one statement that is known as assertion and another one will be the reason, which is supposed to be the reason for the given statement. However, it is students duty to determine whether the statement and reason are correct or not. If both are correct then it becomes important to check, does reason support the statement? 

Moreover, to solve the problem they need to look at the given options and then answer them.

CBSE Class 10 Maths Case Based MCQ

CBSE Class 10 Maths Case Based MCQ are either Multiple Choice Questions or assertion reasons. To solve such types of problems it is ideal to use elimination methods. Doing so will save time and answering the questions will be much easier. Students preparing for the board exams should definitely solve these types of problems on a daily basis.

Also, the CBSE Class 10 Maths MCQ Based Questions are provided to us to download in PDF file format. All are developed as per the latest syllabus of CBSE Class Xth.

Class 10th Mathematics Multiple Choice Questions

Class 10 Mathematics Multiple Choice Questions for all the chapters helps students to quickly revise their learnings, and complete their syllabus multiple times. MCQs are in the form of objective types of questions whose 4 different options are given and one of them is a true answer to that problem. Such types of problems also aid in self assessment.

Case Study Based Questions of class 10th Maths are in the form of passage. In these types of questions the paragraphs are given and students need to find out the given data from the paragraph to answer the questions. The problems are generally in Multiple Choice Questions.

The Best Class 10 Maths Case Study Questions are available on Selfstudys.com. Click here to download for free.

To solve Class 10 Maths Case Studies Questions you need to read the passage and questions very carefully. Once you are done with reading you can begin to solve the questions one by one. While solving the problems you have to look at the data and clues mentioned in the passage.

In Class 10 Mathematics the assertion and reasoning questions are a kind of Multiple Choice Questions where a statement is given and a reason is given for that individual statement. Now, to answer the questions you need to verify the statement (assertion) and reason too. If both are true then the last step is to see whether the given reason support=rts the statement or not.

CBSE Class 10 Exams Finish, When Can You Expect Results? Details Here

CBSE Board Class 10 Information Technology Answer Key 2024 and Question Papers, Download PDF All SETs

CBSE Board Class 10 Computer Applications Answer Key 2024 and Question Papers, Download PDF All SETs

CBSE Class 10 Information Technology Exam 2024 : Most Important Questions Answers for Last-Minute Revision

CBSE Class 10 Computer Applications Exam 2024 : Most Important Questions Answers for Last-Minute Revision

CBSE Board Class 10 Maths Answer Key 2024 and Question Papers, Download PDF All SETs

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 10 Maths
• CBSE Syllabus 2023-24
• Social Media Channels
• Login Customize Your Notification Preferences

• Second click on the toggle icon

Provide prime members with unlimited access to all study materials in PDF format.

Allow prime members to attempt MCQ tests multiple times to enhance their learning and understanding.

Provide prime users with access to exclusive PDF study materials that are not available to regular users.

• Study Guides
• Homework Questions

Linear Equations & Coordinate Geometry Class 10th Test-1

• Mathematics

RBSE Class 10 Maths Question Paper 2024 with Answer Key

The RBSE Class 10 Maths Question Paper 2024 is given here along with the answer key. Download RBSE 10th Maths Question Paper 2024 PDF for free. Know Rajasthan Board 10th Class Maths Paper analysis

Table of Contents

The Rajasthan Board of Secondary Education (RBSE) conducted the RBSE Class 10 Maths exam on March 27, 2024. This exam paper was the last examination conducted for the compulsory subject. Now only the third language paper is to be conducted by the Rajasthan Board on the last working day in March. The RBSE Class 10 mathematics exam paper was held successfully as per the specified schedule. Students can now access the RBSE class 10 Maths question paper 2024 here.

RBSE Class 10 Maths Question Paper 2024

The RBSE Class 10 Maths Question Paper 2024 has been released by the Board of Secondary Education, Rajasthan (BSER) after the conclusion of the exam. The Rajasthan Board Class 10 Math Question Paper 2024 featured different types of questions from the standard syllabus prescribed by the RBSE. The RBSE Class 10th Mathematics Question 2024 Paper consisted of a range of diverse and challenging questions designed according to the exam pattern released earlier by the board.

RBSE 10th Maths Question Paper 2024 PDF Download

The questions asked in the Rajasthan Board 10th Maths question paper on 27 March 2024 has given below for students in the PDF format. The question paper PDF provided here can be used as a reference for checking their answers with the help of the answer key. Students taking the RBSE 10th board exam in the upcoming years can use this paper for practice. Students can download the PDF f RBSE 10th Math question paper 2024 for free by clicking the download link.

PDF to be provided soon

RBSE 10th Class Mathematics Question Paper Analysis 2024

The RBSE 10th class mathematics exam paper was of the moderate difficulty level. Almost all the questions were derived from the prescribed syllabus. Most of the objective-type questions were simple and straightforward. Students found some objective questions tricky. Students found the question paper to be a bit lengthy due to the subjective part. Subject experts also affirmed that the question paper was of the moderate level. Most of the objective and subjective questions were basic. Students who would have studied thoroughly would score high marks in this exam.

RBSE Class 10 Maths Board Paper Answer Key 2024

The Rajasthan Board Class 10th Maths answer key for the questions present in the March board exam question paper is provided here for students. The answers mentioned here is formulated by expert teachers, so that students can get the correct answer for all the questions. By going through the answer key, students will be able to calculate their overall marks for the Mathematics exam paper. The answer key for the objective questions is given hereunder.

RBSE Class 10th Maths Sample Paper

The Rajasthan Board Class 10th sample question paper 2024 has been formulated in both the English and Hindi language, just like the actual board paper. Students taking the class 10 math final exam can tackle these sample questions to better grasp the question paper format. Students will gain an understanding of the types of questions and themes that are important by practicing these questions. Solving these problems allows students to establish an effective time management approach for their final exam.

The RBSE 10th Class Mathematics sample paper is formulated by the expert board members who are also given the task of formulating the board exam paper. So it is highly likely that the questions featuring in the model paper can be asked in the exam as it is or with slight modifications. In the previous years’ exam papers too, the questions have been taken from the sample paper. Therefore, candidates advised to solve the Mathematics model paper with seriousness.

Check: Rajasthan Board Class 10 Date Sheet 2024

Rajasthan Board 10th Maths Important Questions

Some of the most important questions for the RBSE 10th Maths final exam 2024 is given below. Students should revise these questions to score excellent marks.

Q) Is it possible to make a mango orchard whose length is twice the width and its area is 800 square meters? It yes, find its length and width. 

Q)  Find two consecutive positive integers whose sum of squares is 365. 

Q) Find the ratio in which the point (-3, P) divides the points (-5, -4) and (-2. 3). Also find the value of P?

Q)  Prove that the opposite of a quadrilateral circumscribed about a circle sides subtend angles Complement on center front arms. 

Q) The first term and last term of A.P. is 1 and 11 respectively. If the sum of its terms is 36 then find the number of terms.

Q) Two dice are thrown simultaneously. What is the probability that – i. Equal marks will be obtained in both the dice. ii. The sum of the numbers of both the dice will be 7.

Q) A chord of a circle of radius 12 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major circle segments.

Q) The length of a wall is 5 meters, width is 30 cm and height is 3 meters. How many bricks measuring 20 cm x 10 cm x 7.5 cm will be required to build a wall?

Q) The shadow of a tower standing on a level ground becomes 40 meters longer when the angle of elevation of the Sun decreases from 60° to 30°, find the height of the tower. 

Q) The value of the angle of each quadrant of a circle is- (a) 30° (b) 45° (c) 60° (d) 90° 

RBSE 10th Maths Question Paper 2024 Pattern

Students must know the Rajasthan Board 10th class maths exam paper pattern in advance so that they can perform well. The Rajasthan Board Class 10 Maths Question paper 2024 has a total of 22 questions. The question paper for Maths subject contains 4 sections in total. The sections present in the Rajasthan Class 10th mathematics question paper are Section A, Section B, Section C, and Section D. The sections are divided on the basis of question type and marks allocated for each question. The detailed pattern for each section of the question paper is given below.

• The section A of the question paper consists of objective type questions. This section contains multiple choice questions, fill in the blanks and very short answer type questions. Each question in this section is worth 1 mark. There are 3 questions in this section with multiple sub-questions.
• The section B of the question paper comprise short answer type questions worth 2 marks each. There are 12 questions in this section from Question Number 4 to 15.
• The section C of the math question paper contains 4 questions from question number 16 to 19. The marks for each question of this section is 3. Questions in this part of the exam paper are short answer type.
• The RBSE 10th Maths question paper’s section D contains long answer type questions. There are three questions in this section from Question Number 20 to 22. Each question of this section is worth 4 marks.

Unit Wise Weightage for RBSE Maths Class 10 Question Paper 2024

Students can check the unit-wise weightage of topics to plan their exam study accordingly. The weightage assigned to the unit clearly shows the significance of the specific topics.

RBSE Sample Paper 2024 Class 10 PDF Download Maths

The RBSE 10th Maths Model Question Paper 2024 is provided below for class 10 board students. Students must solve the questions given in the model question paper with full honesty so that they can score excellent marks in the board exam. The model question paper pdf for the mathematics subject mentioned here is the exact copy of the board exam paper.

RBSE Class 10 Maths Model Question Paper 2024 PDF

Sharing is caring!

What is the total number of questions in the RBSE 10th class Mathematics exam paper?

The RBSE 10th Mathematics exam paper has a total of 22 questions with multiple sub-questions.

Does the Rajasthan Board 10th Mathematics exam paper contains multiple choice questions?

Yes, the Rajasthan Board 10th Mathematics exam paper contains 20 multiple choice questions.

How many sections does the RBSE 10th Maths question paper has?

The RBSE 10th maths question paper has 4 sections from Section A to Section D.

Where can students download the Rajasthan 10th Maths Model Paper 2024?

Students can download the Rajasthan Board 10th Maths model question paper 2024 from the above article.

How many marks are allocated for the RBSE class 10th Maths question paper 2024?

The RBSE Class 10 Maths theory exam paper is held for 80 marks.

• Question Paper

Leave a comment

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

Trending Articles

• JEECUP Admit card 2024
• CBSE Date Sheet 2024 for Class 10 and 12
• NEET Syllabus 2024 [Reduced]

CBSE Board Exam 2024

• CBSE Class 10 Syllabus 2024 
• CBSE Class 12 Syllabus 2024 
• CBSE Previous Year Papers  
• CUET Syllabus
• CUET Previous Year paper
• CUET Participating College & Universities
• JEE Main 2024  
• JEE Main Syllabus 2024  
• JEE Main Exam Analysis 2023  
• NEET 2024  
• NEET Syllabus 2024
• NEET State wise Cut off
• NEET Rank Predictor  
• NEET OMR Sheet
• NEET College Predictor

Recent Posts

Important exams, ncert solutions.

• NCERT Class 12
• NCERT Class 11
• NCERT Class 10
• NCERT Class 9

NCERT Books

School syllabus.

• CBSE Class 12
• CBSE Class 11
• CBSE Class 10
• CBSE Class 9
• CBSE Result
• JEE Mains 2024

Our Other Websites

• Teachers Adda
• Bankers Adda
• Adda Malayalam
• Adda Punjab
• Current Affairs
• Defence Adda
• Adda Bengali
• Engineers Adda
• Adda Marathi
• Adda School

Get all your queries solved in one single place. We at Adda247 school strive each day to provide you the best material across the online education industry. We consider your struggle as our motivation to work each day.

Download Adda247 App

Follow us on

• Responsible Disclosure Program
• Cancellation & Refunds
• Terms & Conditions
• Privacy Policy