The circle with centre `(1,2)` cuts the circle `x^(2)+y^(2)+14x-16y+77=0` orthogonally then its radius is

The circle with centre (2 3) and intersecting x^(2)+y^(2)-4x+2y-7=0 orthogonally has the radius

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

The circle through (-2,5),(0,0) and intersecting the circle x^(2)+y^(2)-4x+3y-1=0 orthogonally 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

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

The length of tangent from (0,0) to the circle x^(2)+y^(2)-14x+12y+25=0