Find the equation of the circle which cuts the Circles `x^2+y^2-9x+ 14 =0` and `x^2+y^2 +15x + 14=0` orthogonally and passes through the point `(2,5)`

Find the equation of the circle which intersects the circle x^2 + y^2 - 6x + 4y - 3 = 0 orthogonally and passes through the point (3,0) and touches Y-axis.

Find the equation of the circle which cuts the circle x^(2)+y^(2)-14x-8y+64=0 and the coordinate axes orthogonally.

Find the locus of the centres of the circle which cut the circles x^2+y^2+4x-6y+9=0 and x^2+y^2-5x+4y-2=0 orthogonally

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).

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).

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).

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).

Find the equation of circle which intersect the circle x^2+y^2-6x+4y-3=0 orthogonally and passes through the point (3,0) and touches Y-axis.

Find the equation of the circle which cuts the three circles x^2+y^2-3x-6y+14=0,x^2+y^2-x-4y+8=0, and x^2+y^2+2x-6y+9=0 orthogonally.