English Medium Class 10 - CBSE Question Bank Solutions

Find the sum of the following arithmetic series:

34 + 32 + 30 + ... + 10

Find the sum of the following arithmetic series:

(–5) + (–8) + (–11) + ... + (–230)

Find the distance between the points:

A(9, 3) and B(15, 11)

Find the distance between the points:

A(7, –4) and B(–5, 1)

Find the distance between the points:

A(–6, –4) and B(9, –12)

Find the distance between the points:

A(1, –3) and B(4, –6)

Find the distance between the points:

P(a + b, a – b) and Q(a – b, a + b)

Find the distance between the points:

P(a sin α, a cos α) and Q(a cos α, – a sin α)

Find the distance of the following points from the origin:

A(5, –12)

Find the distance of the following points from the origin:

B(–5, 5)

Find the distance of the following points from the origin:

C(–4, –6)

Find all possible values of x for which the distance between the points A(x, –1) and B(5, 3) is 5 units.

Find all possible values of y for which the distance between the points A(2, –3) and B(10, y) is 10 units.

Find the values of x for which the distance between the points P(x, 4) and Q(9, 10) is 10 units.

If the point A(x, 2) is equidistant from the points B(8, –2) and C(2, –2), find the value of x. Also, find the length of AB.

Using the distance formula, show that the given points are collinear:  

 (1, –1), (5, 2) and (9, 5)

Using the distance formula, show that the given points are collinear:

(6, 9), (0, 1) and (–6, –7)

Using the distance formula, show that the given points are collinear:

(–2, 5), (0, 1) and (2, –3)

Find the distance between the points `A((-8)/5, 2)` and `B(2/5, 2)`.

If P(x, y) is equidistant from the points A(7, 1) and B(3, 5), find the relation between x and y.