JEE Advance - Mathematics (1983 - No. 53)
The centre of the circle passing through the point (0, 1) and touching the curve $$\,y = {x^2}$$ at (2, 4) is
$$\left( {{{ - 16} \over 5},{{ - 27} \over {10}}} \right)$$
$$\left( {{{ - 16} \over 7},{{53} \over {10}}} \right)$$
$$\left( {{{ - 16} \over 5},{{53} \over {10}}} \right)$$
none of these