Coordinate Geometry

CBSE Class 10 · Mathematics · 50 past questions

These are the board's own papers. 235 more board questions reprinted in the books we use in class are for signed-in students: sign in.

11 of 50 · show all

Q6 2026

The distance between the points $(a\cos\theta+b\sin\theta,\,0)$ and $(0,\,a\sin\theta-b\cos\theta)$ is
Q9 2026 (Basic)

The vertices of a rhombus ABCD are A(−3, −4), B(5, −3), C(1, 4) and D(−7, 3). Find the length of both the…
Q10 Sample paper 2026-27

The point which lies on the perpendicular bisector of the line segment joining the points A $(-3, -4)$ and B…
Q11 Sample paper 2026-27

PM is a median of Δ PQR with vertices P $(5, -6)$, Q $(6, 4)$ and R $(0, 0)$. The length of PM is…
Q12 Sample paper 2026-27

Assertion-
Reason Based Questions…
Q13 Sample paper 2026-27

In what ratio does the x–axis divide the line segment joining the points (– 4, – 6) and (–1, 7)? Also, find…
Q23 2025

The coordinates of the centre of a circle are $(2a, a - 7)$. Find the value(s) of 'a' if the circle passes…
Q34 2024

Find the ratio in which the point $\left(\dfrac{8}{5}, y\right)$ divides the line segment joining the points…
Q37 2024 (Basic)

The diameter of a circle is of length 6 cm. If one end of the diameter is $(-4, 0)$, the other end on x-axis…
Q38 2024 (Basic)

Find the co-ordinates of the points of trisection of the line segment joining the points $(-2, 2)$ and…
Q48 2023

If $(-5, 3)$ and $(5, 3)$ are two vertices of an equilateral triangle, then find co-ordinates of the third…