Question

Circle on which the coordinates of any point are (2 + 4 cosθ, –1 + 4 sinθ) where θ is parameter is given by (x – 2)² + (y + 1)² = 16.

Options

• True

• False

Answer 1

This statement is True.

Explanation:

From given conditions

We have x = 2 + 4 cosθ

⇒ (x – 2) = 4 cosθ

And squaring y = –1 + 4 sinθ

⇒ y + 1 = 4 sinθ.

And adding, we get (x – 2)² + (y + 1)² = 16.