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.

13 of 50 · show all

1. Q1 2026

   In the given figure, $\Delta$ ABC is an equilateral triangle. AD is a median of the triangle joining the… (with a figure)

   Try it →
2. Q2 2026

   Diagonals AC and BD of square ABCD intersect at P. Coordinates of points B and D are (9, – 2) and (1, 6)… (with a figure)

   Try it →
3. Q3 2026

   A point P(x, 7) divides a line segment joining the points A(- 5, 4) and B(7, 9) in a certain ratio. Find the…

   Try it →
4. Q4 2026

   The line segment joining the points P(–4, –2) and Q(10, 4) is divided by y-axis in the ratio

   Try it →
5. Q5 2026

   A circle centered at (2, 1) passes through the points A(5, 6) and B(−3, K). Find the value(s) of K. Hence…

   Try it →
6. Q6 2026

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

   Try it →
7. Q7 2026 (Basic)

   The distance between the points $(-4, 2)$ and $(1, 0)$ is…

   Try it →
8. Q8 2026 (Basic)

   A (– 2, 3) and B (4, 1) are end points of the diameter of a semi-circle. The semi-circle intersects y-axis at…

   Try it →
9. 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…

   Try it →
10. 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…

    Try it →
11. 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…

    Try it →
12. Q12 Sample paper 2026-27

    Assertion-
    Reason Based Questions…

    Try it →
13. 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…

    Try it →