Question

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

(a) 3

(b) −3

(c) 9

(d) −9

Answer 1

It is given that distance between P (x, 2) and is 10.

In general, the distance between A and B is given by,

So,

On further simplification,

We will neglect the negative value. So,

So the answer is (c)