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

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

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

The area (in sq. units) of the circle touching the line x+y=4 at (1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is equal to

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

The locus of the centres of circles passing through the origin and intersecting the fixed circle x^(2)+y^(2)-5x+3y-1=0 orthogonally is

If a variable circle cuts two circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-2y-7=0 orthogonally than loucs of centre of variable circle is

The value of lambda for which the circle x^(2)+y^(2)+2lambdax+6y+1=0 intersects the circle x^(2)+y^(2)+4x+2y=0 orthogonally, is