Question

Mark the correct alternative in each of the following:

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

(a) $\sqrt{3}$

(b) $\sqrt{2}$

(c) 2

(d) 1

Answer 1

We have to find the distance between and.

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

So,

But according to the trigonometric identity,

Therefore,

So, the answer is (b)