Centre of a circle passing through point (0,1) and touching the curve `y=x^2` at `(2,4)` is

The centre of the circle passing through the point (0,1) and touching the curve y at (2,4) is (1983,1M)162751016535101653(710(d) None of these

The centre of the circle passing through the point (0, 1) and touching the curve y=x^(2) at (2, 4) is

The centre of a circle passing through the points (0, 0), (1, 0) and touching the circle x^(2)+y^(2)=9 , is

The centre of a circle passing through the points (0,0),(1,0) and touching the circle x^(2)+y^(2)=9 is

The centre of a circle passing through the points (0,0),(1,0)and touching the circle x^2+y^2=9 is