A variable circle is described to pass through the point (1, 0) and tangent to the curve `y=tan(tan^(-1)x)` . The locus of the centre of the circle is a parabola whose

A variable circle is described to passes through the point (1, 0) and tangent to the curve y = tan(tan^(-1)x) . The locus of the centre of the circle is a parabola whose

A variable circle passes through the fixed point (2,0) and touches the y-axis. Then the locus of its centre is

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

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is

If a circle Passes through point (1,2) and orthogonally cuts the circle x^(2)+y^(2)=4, Then the locus of the center is: