Statement-1: The centre of the circle passing through the points (0, 0), (1, 0) and touching the circle `C : x^(2)+y^(2)=9` lies inside the circle.
Statement-2: If a circle `C_(1)` passes through the centre of the circle `C_(2)` and also touches the circle, the radius of the circle `C_(2)` is twice the radius of circle `C_(1)`

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
B. Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.
C. Statement-1 is True, Statement-2 is False.
D. Statement-1 is False, Statement-2 is True.

Answer

A

Explanation

Clearly, statement-2 is true. Also, (0, 0) and (1, 0) lie inside the circle C. Clearly, (0, 0) is the centre of the circle C and the circle `C_(1)` touches circle C. So, by statement-2, circle `C_(1)` lies inside circle C.