JEE Advance - Mathematics (1992 - No. 4)
The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle $${x^2} + {y^2} = 9$$is
$$\left( {{3 \over 2},{1 \over 2}} \right)\,$$
$$\left( {{1 \over 2},{3 \over 2}} \right)\,$$
$$\left( {{1 \over 2},{1 \over 2}} \right)\,$$
$$\left( {{1 \over 2}, - {2^{{1 \over 2}}}} \right)\,$$