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. Page 23 38. The top of a table is hexagonal in shape. On the basis of the information given above, answer the following questions : (i) Write the coordinates of A and B. 1 (ii) Write the coordinates of the mid-point of line segment joining C and D. 1 (iii) (a)…
   Board 20244 marksshort answerRepeated: 2023,2024
2. (a) Find the coordinates of the point which divides the line segment joining the points (7, -1) and (-3, 4) internally in the ratio 2 : 3. OR (b) Find the value(s) of y for which the distance between the points A(3, -1) and B(11, y) is 10 units.
   Board 20232 marksshort answerRepeated: 2023,2024
3. The mid-point of the line segment joining points (1, 3) and (1, 3) lies : (A) at the origin (B) in the second quadrant (C) on x-axis (D) on y-axis
   Board 20251 markMCQ
4. | P a g e 38. In a society, there is a circular park having two gates. The gates are placed at points A(10, 20) and B(50, 50), as shown in the figure below. Two fountains are installed at points P and Q on AB such that AP = PQ = QB. Based on the above informat…
   Board 20254 marksshort answer
5. | P a g e 38. A field is in the form of a rectangle. The coordinates of the rectangular field ABCD are A(10, 10), B(40, 10), C(40, 50) and D(x, y). Anil and Anita, two friends decided to have a race. Anita started from point A and moved to point E along the di…
   Board 20254 marksshort answer
6. The mid-point of the line segment joining the points (-1, 3) and is : 79) (a) (b) (c) (d) [2' 2] 2' 2'
   Board 20241 markMCQ
7. The diameter of a circle is of length 6 cm. If one end of the diameter is (- 4, O), the other end on x-axis is at : (a) (0, 2) (c) (2, 0) (b) (6, 0) (d)(4, 0)
   Board 20241 markMCQ
8. The distance between the points (2, -3) and (-2, 3) is : (a) 2/13 units (b) 5 units (c) 13/2 units (d)10 units
   Board 20241 markMCQ
9. Assertion (A) : The point (0, 4) lies on y – axis. 1 Reason (R) : The x-coordinate of a point, lying on y – axis, is zero.
   Board 20241 markAssertion-Reason
10. Determine the ratio in which the point (– 6, y) divides the line segment joining the points A (–3, –1) and B (– 8, 9). Also, find the value of y.
    Sample paper 2026-273 marksshort answer
11. *There is no change in the Question Paper Design and Assessment Pattern for Academic Session 2026-27. Page 3 of 8 Q20. ASSERTION (A): If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side. REASON (R): Line…
    Sample paper 2026-271 markAssertion-Reason

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