Question

The polar co-ordinates of P are `(2, pi/6)`. If Q is the image of P about the X-axis then the polar co-ordinates of Q are ______.

Options

• `(2, (5pi)/6)`

• `(2, pi/6)`

• `(2, pi/3)`

• `(2, (11pi)/6)`

Answer 1

The polar co-ordinates of P are `(2, pi/6)`. If Q is the image of P about the X-axis then the polar co-ordinates of Q are `underline((2, (11pi)/6))`.

Explanation:

We have, polar coordinates of P are `(2, pi/6)`.

If Q is the image of P about the X-axis

`therefore "Q" ≡ (2, -pi/6)`

`=> "Q" ≡ (2, (11pi)/6)`