Question

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x² + y² = 9 is

(a) (3/2, 1/2)

(b) (1/2, 3/2)

(c) (1/2, 1/2)

(d) 1/2, -2^1/2)

Answer 1

Correct option: (d) 1/2, -2^1/2)

Explanation:

Let C₁ (h, k) be the centre of the required circle. Then

Since, (0, 0), (1, 0) lie inside the circle x² + y² = 9. Therefore, the required circle can touch the given circle internally.