English Medium Class 10 - CBSE Question Bank Solutions for Mathematics

If P (2, p) is the mid-point of the line segment joining the points A (6, −5) and B (−2, 11). find the value of p.

What is the distance between the points  \[A\left( \sin\theta - \cos\theta, 0 \right)\] and \[B\left( 0, \sin\theta + \cos\theta \right)\] ?

Find the coordinates of the point which is equidistant from the three vertices A (\[2x, 0) O (0, 0) \text{ and }  B(0, 2y) of ∆\]  AOB .

The distance between the points (cos θ, 0) and (sin θ − cos θ) is

The distance between the points (a cos 25°, 0) and (0, a cos 65°) is

If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =

The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ − b cos θ) is

If the distance between the points (4, p) and (1, 0) is 5, then p = 

A line segment is of length 10 units. If the coordinates of its one end are (2, −3) and the abscissa of the other end is 10, then its ordinate is

The perimeter of the triangle formed by the points (0, 0), (0, 1) and (0, 1) is 

If A (2, 2), B (−4, −4) and C (5, −8) are the vertices of a triangle, than the length of the median through vertex C is

If three points (0, 0), \[\left( 3, \sqrt{3} \right)\]  and (3, λ) form an equilateral triangle, then λ =

If the points (k, 2k), (3k, 3k) and (3, 1) are collinear, then k

The coordinates of the point on X-axis which are equidistant from the points (−3, 4) and (2, 5) are

If (−1, 2), (2, −1) and (3, 1) are any three vertices of a parallelogram, then

If A (5, 3), B (11, −5) and P (12, y) are the vertices of a right triangle right angled at P, then y=

The area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b)