If a circle passes through the point `(a, b)` and cuts the circle `x^2 + y^2 = 4` 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 a point (1,2) and cut the circle x^(2)+y^(2)=4 orthogonally,Then the locus of its centre is

A circle passes through the point (3,4) and cuts the circle x^(2)+y^(2)=c^(2) orthogonally,the locus of its centre is a straight line.If the distance of this straight line from the origin is 25. then a^(2)=

If a circle passes through the point (3,4) and cuts the circle x ^(2) + y ^(2) =a ^(2) orthogonally, the equation of the locus of its centre is