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 (a,b) and cuts the circles x^(2) + y^(2) =4 orthogonally then the locus of its centre is

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

If a circle passes through the point (a,b) and cuts the circle x^2+y^2=k^2 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 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 (a,b) and cuts the circle x^2+y^2=k^2 orthogonally , show that the locus of its centre is 2ax+2by-(a^2+b^2+k^2)=0

If a circle passes through the point (a,b) and cuts the circle x^2+y^2=k^2 orthogonally , show that the locus of its centre is 2ax+2by-(a^2+b^2+k^2)=0