Question

If polar co-ordinates of a point are `(1/2, pi/2)`, then its cartesian co-ordinates are ______.

विकल्प

• `(1/2, 2)`

• `(0, 1/2)`

• `(1/2, 4)`

• `(4, 1/2)`

Answer 1

If polar co-ordinates of a point are `(1/2, pi/2)`, then its cartesian co-ordinates are `(0, 1/2)`.

Explanation:

Let (r, θ) = `(1/2, pi/2)`

x = r cos θ and y = r sin θ

⇒ x = `1/2 cos (pi/2)` and y = `1/2 sin (pi/2)`

⇒ x = 0 and y = `1/2`