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

Q14 2025

The coordinates of the end points of a diameter of a circle are $(5, -2)$ and $(5, 2)$. The length of the…
Q15 2025

The points ($-$5, 0), (5, 0) and (0, 4) are the vertices of a triangle which is a/an…
Q16 2025

The equation of a line parallel to the x-axis and at a distance of 3 units below x-axis is…
Q17 2025

If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and $x + y - 10 = 0$…
Q18 2025

The line represented by $\frac{x}{4} + \frac{y}{6} = 1$, intersects x-axis and y-axis respectively at P and…
Q19 2025

Two of the vertices of $\triangle$ PQR are P(−1, 5) and Q(5, 2). The coordinates of a point which divides PQ…
Q20 2025

AOBC is a rectangle whose three vertices are A(0, 2), O(0, 0) and B(4, 0). The square of the length of its…
Q21 2025

If the mid-point of the line segment joining the points A(3, 4) and B(k, 6) is P(x, y) and $x + y - 10 = 0$…
Q22 2025

The mid-point of the line segment joining the points P($-4$, 5) and Q(4, 6) lies on…
Q23 2025

The coordinates of the centre of a circle are $(2a, a - 7)$. Find the value(s) of 'a' if the circle passes…
Q24 2025

Find the ratio in which the y-axis divides the line segment joining the points (5, – 6) and (– 1, – 4). Also…
Q25 2025 (Basic)

For a point $(3, -5)$, the value of (abscissa $-$ ordinate) is…
Q26 2025 (Basic)

The mid-point of a line segment divides the line segment in the ratio…