English Medium कक्षा १० - CBSE Question Bank Solutions for Mathematics

If (x , 2), (−3, −4) and (7, −5) are collinear, then x =

If points (t, 2t), (−2, 6) and (3, 1) are collinear, then t =

If the area of the triangle formed by the points (x, 2x), (−2, 6)  and (3, 1) is 5 square units , then x =

If points (a, 0), (0, b) and (1, 1)  are collinear, then \[\frac{1}{a} + \frac{1}{b} =\]

If the centroid of a triangle is (1, 4) and two of its vertices are (4, −3) and (−9, 7), then the area of the triangle is

The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio. 

The ratio in which (4, 5) divides the join of (2, 3) and (7, 8) is

 The ratio in which the x-axis divides the segment joining (3, 6) and (12, −3) is

If the centroid of the triangle formed by the points (a, b), (b, c) and (c, a) is at the origin, then a³ + b³ + c³ =

If Points (1, 2) (−5, 6) and (a, −2) are collinear, then a =

If the centroid of the triangle formed by (7, x) (y, −6) and (9, 10) is at (6, 3), then (x, y) =

The distance of the point (4, 7) from the x-axis is

The distance of the point (4, 7) from the y-axis is

If P is a point on x-axis such that its distance from the origin is 3 units, then the coordinates of a point Q on OY such that OP = OQ, are

If the points(x, 4) lies on a circle whose centre is at the origin and radius is 5, then x =

If the points P (x, y) is equidistant from A (5, 1) and B (−1, 5), then

If points A (5, p) B (1, 5), C (2, 1) and D (6, 2) form a square ABCD, then p =

The coordinates of the circumcentre of the triangle formed by the points O (0, 0), A (a, 0 and B (0, b) are

The coordinates of a point on x-axis which lies on the perpendicular bisector of the line segment joining the points (7, 6) and (−3, 4) are

If the centroid of the triangle formed by the points (3, −5), (−7, 4), (10, −k) is at the point (k −1), then k =