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 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 equation of the locus of its center 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 = 4 orthogonally, then the locus of its centre is (a) 2ax+2by-(a^(2)+b^(2)+4)=0 (b) 2ax+2by-(a^(2)-b^(2)+k^(2))=0 (c) x^(2)+y^(2)-3ax-4by+(a^(2)+b^(2)-k^(2))=0 (d) x^(2)+y^(2)-2ax-3by+(a^(2)-b^(2)-k^(2))=0

If a circle Passes through a point (1,0) and cut the circle x^2+y^2 = 4 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

If a circle passes through the point (a, b) and cuts the circlex x^2+y^2=p^2 equation of 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 (1,2) and cuts x^2+y^2=4 orthogonally then show that the equation of the locus of centre is 2x+4y-9=0

A circle passes through (0,0) and (1, 0) and touches the circle x^2 + y^2 = 9 then the centre of circle is -