Find the equation of the circle which cuts the circles `x^2+y^2+4x+2y+1=0, 2(x^2+y^2)+8x+6y-3=0` and `x^2+y^2+6x-2y-3=0` orthogonally.

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.

The equation of the circle which cuts the three circles x^2+y^2-4x-6y+4=0, x^2+y^2-2x-8y+4=0, x^2+y^2-6x-6y+4=0 orthogonally is

The equation of the circle which cuts orthogonally the three circles x^2+y^2+4x+2y+1=0, 2x^2+2y^2+8x+6y-3=0, x^2+y^2+6x-2y-3=0 is

Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+11=0 and x^2+y^2-10x-4y+21=0 orthogonally and has the diameter along the line 2x+3y=7.

Find the equation of the circle which cuts each of the circles x^2+y^2=4 , x^2 +y^2-6x-8y.+ 10=0 & x^2 + y^2+2x-4y-2 = 0 at the extremities of a diameter

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

Find the equations of the two circles which intersect the circles x^(2)+y^(2)-6y+1=0andx^(2)+y^(2)-4y+1=0 orthogonally and touch the line 3x+4y+5=0 .

Find the equation of the tangent to the circle x^2 + y^2-30x+6y+109=0 at (4, -1)

Find the locus of the centre of the circle which cut the circles x^2+y^2+4x-6y+9=0 and x^2+y^2-4x+6y+4=0 orthogonally (a) 9x+10y-7=0 (b) 8x-12y+5=0 (c) 9x-10y+11=0 (d) 9x+10y+7=0

Show that the circles x^2 + y^2 - 2x-6y-12=0 and x^2 + y^2 + 6x+4y-6=0 cut each other orthogonally.