Show that the circles given by the following equations intersect each other orthogonally .
`x^2+y^2+4x-2y-11=0`
`x^2+y^2-4x-8y+11=0`

Show that the circles given by the following equations intersect each other orthogonally . x^2+y^2+2x-2y=0 x^2+y^2+2x + 2y=0

Show that the circles given by the following equation intersect each other orthogonally. x^2 + y^2 - 2x - 2y - 7 = 0, 3x^2 + 3y^2 - 8x + 29y = 0 .

Show that the circles given by the following equation intersect each other orthogonally. x^2 + y^2 - 2x + 4y + 4 = 0, x^2 + y^2 + 3x + 4y + 1 =0.

Find the equation of the circle which passes through the origin and intersects each of the following circles orthogonally. x^2+y^2-4x-6y-3=0 x^2+y^2-8y+12=0

Find k if the following pairs of circles are orthogonal x^2+y^2-6x-8y+12=0 x^2+y^2-4x+6y+k=0

Find k if the following pairs of circles are orthogonal x^2+y^2-6x-8y+12=0 x^2+y^2-4x+6y+k=0

Find k if the following pairs of circles are orthogonal x^2+y^2-16y-k=0 x^2+y^2+4x-8=0

Find the equation of the circle which cuts each of the following circles orthogonally. x^2+y^2+2x+17y+4=0 x^2+y^2+7x+6y+11=0 x^2+y^2-x+22y+3=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a) x^2+y^2-2x+4y-3=0 (b) x^2+y^2-2x+4y+3=0 (c) x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=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.