Home » MCQ on Class 10 Mathematics Chapter 7 | Coordinate Geometry

MCQ on Class 10 Mathematics Chapter 7 | Coordinate Geometry

By Abdur Rohman / July 8, 2024

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Chapter 7 of class 10 Mathematics as per the NCERT syllabus is Coordinate Geometry which deals with Distance formula, Section formula, etc.

Here, we have discussed 30 Multiple Choice Questions based on these topics of the chapter. These questions will help you to learn more about the chapter and test your knowledge.

For each question below, there are four options out of which only one option is correct. After selecting your answer, click on the submit button to see the score and review your answers.

MCQ on Class 10 Maths Chapter 7 Coordinate Geometry

1. What are the coordinates of a point on the x-axis?

A. \((x, 0)\) B. \((0, y)\) C. \((x, y)\) D. \((0, 0)\)

2. What is the formula for the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\)?

A. \(\sqrt{(x_2 – x_1)^2 + (y_2 + y_1)^2}\) B. \(\sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}\) C. \((x_2 – x_1) + (y_2 – y_1)\) D. \((x_2 – x_1)^2 + (y_2 – y_1)^2\)

3. What is the distance of point \(P(x, y)\) from the origin?

A. \(x + y\) B. \(\sqrt{x^2 + y^2}\) C. \(x^2 + y^2\) D. \(\sqrt{x^2 – y^2}\)

4. In which quadrant do the points \((x, y)\) with both \(x > 0\) and \(y > 0\) lie?

A. Second B. Third C. First D. Fourth

5. Which theorem is used to calculate the distance between two points in coordinate geometry?

A. Fundamental Theorem of Calculus B. Theorem of Proportions C. Triangle Inequality Theorem D. Pythagoras Theorem

6. The point \( (0, y) \) lies on which axis?

A. x-axis B. y-axis C. Origin D. None

7. The coordinates of a point are of the form \((x, 0)\). What can be inferred about this point?

A. It lies on the y-axis B. It lies on the x-axis C. It lies at the origin D. It lies in the first quadrant

8. What is the distance formula between points \(A(x_1, y_1)\) and \(B(x_2, y_2)\)?

A. \(\sqrt{(x_1 + x_2)^2 + (y_1 + y_2)^2}\) B. \(\sqrt{(x_2 – x_1)^2 + (y_2 – y_1)^2}\) C. \((x_2 + x_1) + (y_2 + y_1)\) D. \((x_2 – x_1) + (y_2 – y_1)\)

9. What is the distance from the origin to the point \( (3, 4) \)?

A. 5 B. 7 C. 6 D. 8

10. If the coordinates of two points are \(A(3, 2)\) and \(B(7, 5)\), what is the distance \(AB\)?

A. \(\sqrt{29}\) B. 5 C. 7 D. \(\sqrt{35}\)

11. In which quadrant is the point \((-3, 4)\)?

A. Second B. First C. Third D. Fourth

12. The distance between points \((1, 1)\) and \((4, 5)\) is:

A. 5 B. 6 C. \(\sqrt{25}\) D. \(\sqrt{30}\)

13. What is the midpoint formula for points \((x_1, y_1)\) and \((x_2, y_2)\)?

A. \((\frac{x_1+x_2}{2}, y_1+y_2)\) B. \((\frac{x_2 – x_1}{2}, \frac{y_2 – y_1}{2})\) C. \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\) D. \((x_2 – x_1, y_2 – y_1)\)

14. Which point lies in the third quadrant?

A. \((-1, -1)\) B. \((1, -1)\) C. \((1, 1)\) D. \((-1, 1)\)

15. The point \((0, 0)\) is known as:

A. Axis B. Origin C. Quadrant D. Centre

16. What are the coordinates of a point on the y-axis?

A. \((x, 0)\) B. \((0, y)\) C. \((x, y)\) D. \((0, 0)\)

17. If the coordinates of a point are \((0, -3)\), it lies on:

A. x-axis B. Origin C. y-axis D. First quadrant

18. The distance from point \( (2, -3) \) to the origin is:

A. \(\sqrt{13}\) B. 5 C. 4 D. \(\sqrt{29}\)

19. Which of the following points lies in the first quadrant?

A. \((-1, -1)\) B. \((1, 1)\) C. \((-1, 1)\) D. \((1, -1)\)

20. What is the length of the line segment joining points \((2, 3)\) and \((5, 7)\)?

A. \(\sqrt{25}\) B. 6 C. \(\sqrt{20}\) D. 5

21. What is the distance between the points \((6, 8)\) and \((3, 4)\)?

A. 7 B. 5 C. 8 D. 10

22. If the coordinates of two points are \( (1, 2) \) and \( (4, 6) \), what is the distance between them?

A. 5 B. \(\sqrt{25}\) C. \(\sqrt{20}\) D. \(\sqrt{29}\)

23. Which of the following points lies in the fourth quadrant?

A. \((1, 1)\) B. \((-1, -1)\) C. \((1, -1)\) D. \((-1, 1)\)

24. The coordinates \((x, y)\) are of a point lying in the second quadrant. What can be said about the signs of \(x\) and \(y\)?

A. Both are positive B. Both are negative C. \(x\) is negative, \(y\) is positive D. \(x\) is positive, \(y\) is negative

25. What is the distance from the origin to the point \((0, 5)\)?

A. 0 B. 5 C. 10 D. \(\sqrt{5}\)

26. The point \( (5, 0) \) lies on which axis?

A. y-axis B. x-axis C. Origin D. Fourth quadrant

27. If \(P(2, -3)\) and \(Q(-2, 3)\) are points in the Cartesian plane, what is the distance \(PQ\)?

A. 6 B. 8 C. \(\sqrt{52}\) D. \(\sqrt{30}\)

28. In which quadrant is the point \((-3, -4)\)?

A. First B. Second C. Third D. Fourth

29. What is the distance between the points \((0, 0)\) and \((7, 24)\)?

A. 25 B. 24 C. 23 D. 26

30. What is the midpoint of the line segment joining \((3, 4)\) and \((7, 8)\)?

A. \((4, 5)\) B. \((5, 6)\) C. \((5, 5)\) D. \((5, 6)\)

Review Your Answers Above.

The Bottom Line

I hope these 30 MCQs on Coordinate Geometry of Class 10 Maths Chapter 7 have helped you in your studies and preparation.

If you have any queries, or comments or find any mistake in the above questions, feel free to contact me in the comment section below.

I would love to hear from you.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.