Coordinate Geometry: Class 10 Previous Year Questions

Coordinate Geometry questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. Find the ratio in which the x-axis divides the line segment joining the points (- 6, 5) and (- 4, - 1). Also, find the point of intersection.
   Board 20263 marksshort answerRepeated: 2024,2025,2026
2. Find the coordinates of the points of trisection of the line segment joining the points A(- 1, 4) and B(- 3, - 2).
   Board 20263 marksshort answerRepeated: 2025,2026
3. The mid-point of the line segment joining the points (5, - 4) and (6, 4) lies on : (a) x-axis (b) y-axis origin (c) (d) neither x-axis nor y-axis
   Board 20261 markMCQRepeated: 2025,2026
4. If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and x + y 10 = 0, then find the value of k.
   Board 20253 marksshort answerRepeated: 2025,2026
5. The coordinates of the centre of a circle are (2a, a 7). Find the value(s) 9) and has diameter 10 units.
   Board 20252 marksshort answerRepeated: 2025,2026
6. In the given figure, AB and CD are tangents to a circle centred at O. Is ÐBAC = ÐDCA ? Justify your answer.
   Board 20242 marksshort answerRepeated: 2024,2026
7. Determine graphically, the coordinates of vertices of a triangle whose == =9 area of this triangle.
   Board 20265 markslong answer
8. If the points A(4, 5), B(m, 6), C(4, 3) and D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n
   Board 20262 marksshort answer
9. The equation of a line parallel to the x-axis and at a distance of 3 units below x-axis is : (A) x = 3 (B) x = 3 (C) y = 3 (D) y =
   Board 20251 markMCQ
10. The line represented by the equation x y = 0 is : (A) parallel to x-axis (B) parallel to y-axis (C) passing through the origin (D) passing through the point (3, 2)
    Board 20251 markMCQ
11. If the distance between the points (3, - 5) and (x, - 5) is 15 units, then the values of x are : (b) -12, 18 (a) 12,-18 (c) 18, 5 (d) - 9, - 12 +
    Board 20241 markMCQ
12. The distance between the points (0, 2 /5) and (-2 5 , 0) is (A) 2/10 units (B) 4 /10 units (C) 2/20 units ()
    Board 20231 markMCQ
13. Assertion (A) : Point P(O, 2) is the point of intersection of y-axis with the line 3x + 2y = 4. Reason (R) : The distance of point P(O, 2) from x-axis is 2 units.
    Board 20231 markAssertion-Reason
14. The coordinates of the vertex A of a rectangle ABCD whose three vertices are given as B(0, 0), C(3, 0) and D(0, 4) are : (a) (4, 0) (b) (0, 3) (c) (3, 4) (d) (4, 3)
    Board 20231 markMCQ
15. JJJJ Page 9 17. The area of the triangle formed by the line b y a x = 1 with the coordinate axes is : (a) ab (b) 2 1 ab (c) 4 1 ab (d) 2ab JJJJ Page 10 18. Xr JB© AmH¥${V _|, AB PQ & `{X AB = 6 cm, PQ = 2 cm Am¡a OB = 3 cm h¡, Vmo OP H$s bå~mB© hmoJr : (a) 9 c…
    Board 20231 markMCQ
16. Two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R). Assertion (A): The origin is the ONLY point equidistant from (2,…
    CBSE practice 2022-231 markAssertion-Reason
17. P (-2, 5) and Q (2, -1) are two points on the coordinate plane. Two statements are given below - one labelled Assertion (A) and the other labelled Reason (R). Read the statements carefully and choose the option that correctly describes statements (A) and (R). …
    CBSE practice 2023-241 markAssertion-Reason
18. If 𝐴(1,2), 𝐵(4,3) and 𝐶(6,6) are the three vertices of a parallelogram ABCD, then the coordinates of the fourth vertex D are (a) ( 1 2 , 4) (b) ( 7 2 , 5) (c) (3,4) (d) (3,5)
    CBSE practice 2023-241 markMCQ
19. The distance between two points A and B, on a graph is given as √102 + 72. The coordinates of A are (−4,3). Given that the point B lies in the first quadrant, then all the possible 𝑥-coordinates of point B are (a) multiple of 2 (b) multiple of 3 (c) multiple o…
    CBSE practice 2023-241 markMCQ
20. (A) 2√17 units (B) 2√15 units (C) √101 units (D) 10 units 1 14. PM is a median of Δ PQR with vertices P (5, – 6), Q (6, 4) and R (0, 0). The length of PM is:
    Sample paper 2026-271 markMCQ

Practise all 28 Coordinate Geometry questions with answers →

Other Class 10 Maths chapters

Frequently asked questions