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Top MCQ Practice for Class 10 Maths Coordinate Geometry (2025-26)

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Practice Essential Coordinate Geometry MCQs for Class 10 Maths Exams 2025-26

Class 10 Mathematics has an excellent syllabus covering crucial topics. Its seventh chapter is about coordinate geometry. It explains the different concepts of Cartesian geometry and introduces students to the ways to solve various problems. After completing the textbook exercises of this chapter, progress to solve MCQ questions for Class 10 Maths Coordinate Geometry.


By solving these questions, you can prepare and revise this chapter. You will also learn to recall the concepts taught in this chapter at the right time and increase your accuracy level. Access these MCQs here and practice solving them at home.

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Topics Covered in CBSE Class 10 Maths Chapter 7 Coordinate Geometry

You have studied Cartesian coordinate geometry before and have learned new concepts. At this level, you will learn the advanced concepts of 2-D planes, coordinate axes, and how to find the distance between two points. The list of topics covered in this Class 10 Maths chapter is:


  • Basics of coordinate geometry

  • Calculating and using the distance formula

  • Section formula

  • How to find the area between coordinate points and axes


As you can see, you will advance to a new level of concepts about coordinate geometry. You will learn to find the distance between two points, the length of line segments between two points and the area intercepted by the coordinate axes and line segments.


MCQs with Answers for CBSE Class 10 Maths Chapter 7 Coordinate Geometry

1. Which of the following is a coordinate point on the y-axis?

A) (0, 1)

B) (1, 0)

C) (1, 1)

D) (0, 0)


Answer: A) (0, 1)


2. Which of the following is the midpoint of the line segment joining (1, 3) and (5, 9)?

A) (6, 12)

B) (2, 6)

C) (3, 6)

D) (3, 4)


Answer: C) (3, 6)


3. If the coordinates of a point are (4, 7), then what is the distance between the point and the x-axis?

A) 4

B) 7

C) 11

D) None of the above


Answer: B) 7


4. The equation of x-axis is:

A) y = 0

B) x = 0

C) y = x

D) x = y


Answer: A) y = 0


5. The slope of a line passing through the points (5, 7) and (-3, -1) is:

A) 2

B) 1

C) -2

D) $-\dfrac{1}{2}$


Answer: B) 1


6. What is the distance between the points (-3, 4) and (1, -2)?

A) 4

B) 6

C) 8

D) None of the above


Answer: D) None of the above


7. The equation of the line passing through the points (2, -3) and (4, 1) is:

A) $y = 2x - 7$

B) $y = -2x + 1$

C) $y = \dfrac{1}{2}x - 2$

D) $y = -\dfrac{1}{2}x - 2$


Answer: A) $y = 2x - 7$


8. What is the slope of a line perpendicular to the line passing through the points (-2, 3) and (4, 5)?

A) $-\dfrac{1}{3}$

B) 3

C) -3

D) $\dfrac{1}{3}$


Answer: C) -3


9. Which of the following is the equation of the line passing through the point (2, 3) and parallel to the x-axis?

A) y = 2

B) y = 3

C) x = 2

D) x = 3


Answer: B) y = 3


10. What are the coordinates of the point which divides the line segment joining (3, -2) and (-1, 4) in the ratio 2:3?

A) (1, 0)

B) (2, 0)

C) (-2, 3)

D) (0, 2)


Answer: A) (1, 0)


11. The equation of the line passing through the points (-4, -1) and (-2, -5) is:

A) y = 2x + 7

B) y = -2x - 7

C) y = -2x - 3

D) y = 2x - 7


Answer: B) y = -2x - 7


12. If the point (2, 5) lies on the line 3x - y = k, then what is the value of k?

A) -1

B) 1

C) 7

D) -7


Answer: B) 1


13. The line y = 2x - 1 intersects the y-axis at the point:

A) (0, -1)

B) (1, 0)

C) (0, 1)

D) (-1, 0)


Answer: A) (0, -1)


14. Which of the following is a coordinate point on the x-axis?

A) (-2, 0)

B) (0, 2)

C) (3, 3)

D) (0, -5)


Answer: A) (-2, 0)


15. The equation of the line passing through the point (-1, 4) and perpendicular to the line y = 2x + 1 is:

A) $y = -\dfrac{1}{2}x + \dfrac{7}{2}$

B) $y = \dfrac{1}{2}x + 3$

C) $y = -2x + 2$

D) $y = 2x - 6$


Answer: A) $y = -\dfrac{1}{2} x + \dfrac{7}{2}$


Tips to Solve CBSE Class 10 Maths Chapter 7 Coordinate Geometry MCQs

The basic and advanced concepts of this chapter are quite interesting to learn. Drawing coordinate axes on the copy or using graphs will be a fascinating way to learn these concepts. To make it better, you can download and solve the important Class 10 Maths Ch 7 MCQ.


Here is a list of tips you can use to solve these MCQs better and increase your accuracy.


Focus on the Fundamental Principles and Formulas

While studying the chapter, focus on the formulas taught in every section. Learn how to derive the formulas on your own and then start using them to solve problems. By understanding how the formulas are derived, your basic concept will be clarified. It will help you to identify the right combination of formulas to use and recall the concepts without wasting time.


Keep it Crisp

Generally, MCQs are not open-end questions. It means they will have a shorter and crisper approach to solving. Hence, it should not take time to formulate the steps. Also, there is no need to explain the steps. All you have to do is to find the right answer by calculating the given information in the problem. Focus on the steps and keep them short to save time.


Logical Reasoning

One of the best approaches to solving Class 10 Maths Ch 7 MCQ is logical reasoning. Rest assured that the given options will be very close to each other. It is hard to guess or do the half calculation and choose an option. This is where you need your logical reasoning skills. Formulate the steps and understand what type of answer you will get. Try to compare yours with the given options a little earlier to find out whether you are going in the right direction or not.


Practice More

Practice makes you perfect. Solving MCQs is somewhat different from writing long and short answers. You will need more practice to get accustomed to solving coordinate geometry MCQs. Focus on the basic you have studied in the previous classes. Learn to follow the questions you have solved before to understand the methods and memorise the process.


Time Efficiency

Solving an MCQ paper at home is the best way to develop such skills. Set a time period for the mock test at home. Check how many minutes you can spare for each question. Try to maintain the time allotted for each question. It helps a lot in developing exclusive problem-solving skills when you are facing a time constraint.


Solve Class 10 Maths Chapter 7 Coordinate Geometry MCQs

Why wait then? Download and solve the MCQ questions for Class 10 Maths Coordinate Geometry from here. Get the solutions for all the questions and check your accuracy level. Find out how the experts have solved each question in a stepwise method. Try following these approaches to increase your skills. Remember your accuracy and time efficiency are what will create a difference. Keep practising and seek professional assistance from the subject experts of Vedantu when needed.

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FAQs on Top MCQ Practice for Class 10 Maths Coordinate Geometry (2025-26)

1. What are the most important types of questions to practice from Coordinate Geometry for the CBSE Class 10 board exams 2025-26?

For the 2025-26 exams, focus on questions based on the distance formula and section formula. Important question types include:

  • Proving properties of triangles (e.g., isosceles, equilateral) and quadrilaterals (e.g., square, rhombus, parallelogram) using the distance formula.
  • Finding the coordinates of a point that divides a line segment in a given ratio.
  • Determining the ratio in which a line segment is divided by a point or an axis.
  • Finding a point on an axis (X or Y) that is equidistant from two given points.

2. What is the expected marks weightage for Coordinate Geometry in the Class 10 Maths board exam?

As per the CBSE curriculum for 2025-26, the unit on Coordinate Geometry holds a weightage of 6 marks. These marks are typically distributed across different sections, including Multiple Choice Questions (MCQs), Short Answer (SA), and Long Answer (LA) type questions, testing both direct formula application and problem-solving skills.

3. Which topics in Class 10 Coordinate Geometry are important for HOTS (Higher-Order Thinking Skills) questions?

HOTS questions in Coordinate Geometry often integrate multiple concepts. Important areas for such questions include:

  • Problems requiring the use of both the distance and section formulas to arrive at a solution.
  • Questions about finding the coordinates of special points related to triangles, like the circumcentre (by finding the intersection of perpendicular bisectors, which involves equidistant points).
  • Proofs involving geometric figures where you must first find the coordinates of a vertex before proving a property.
  • Case-based questions where a real-world scenario is modelled using coordinate geometry.

4. How does analysing previous years' questions help in identifying important questions for Coordinate Geometry?

Analysing previous years' board papers is a crucial strategy. It helps you understand the recurring patterns and types of questions that are frequently asked. You can identify the sub-topics that are given more weightage, such as proving properties of quadrilaterals or finding a ratio using the section formula. This helps in focusing your preparation on high-yield areas for the upcoming 2025-26 board exam.

5. Are questions involving finding the ratio in which a point divides a line segment important?

Yes, questions on finding the ratio are very important and are a standard type of problem from this chapter. A common and efficient method to solve these is to assume the ratio is k:1. By applying the section formula and solving for 'k', you can easily find the required ratio. These questions frequently appear as 2 or 3-mark problems in the board exams.

6. What are the most common mistakes students make in Coordinate Geometry problems?

Students often lose marks due to simple errors. The most common mistakes include:

  • Sign errors: Incorrectly handling negative coordinates, especially in the distance formula.
  • Formula mix-up: Confusing the section formula (using '+' for internal division) with other formulas.
  • Coordinate order: Swapping (x1, y1) with (x2, y2) midway through a calculation.
  • Incomplete proofs: Forgetting to prove all necessary conditions for a shape (e.g., proving only opposite sides are equal for a parallelogram but not checking diagonals for a rectangle).

7. Why is checking diagonals necessary when asked to prove a quadrilateral is a square or a rectangle?

This is a critical concept for scoring full marks. Simply proving all four sides are equal only proves the quadrilateral is a rhombus. To confirm it is a square, you must also prove that its diagonals are equal. Similarly, proving opposite sides are equal only confirms it is a parallelogram. To prove it is a rectangle, you must additionally show that its diagonals are equal.

8. Is the topic 'Area of a Triangle' using coordinates part of the important questions for the Class 10 syllabus 2025-26?

No, as per the revised CBSE syllabus for the 2025-26 academic session, the topic of 'Area of a Triangle' using the coordinate geometry formula has been removed. Therefore, you will not be asked questions on this specific topic in the board exam. Your preparation should focus exclusively on the distance formula and the section formula.