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.

For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

For what value of k is the circle x^2 + y^2 + 5x + 3y + 7 = 0 and x^2 + y^2 - 8x + 6y + k = 0 cut each other orthogonally.

The circles x^2+y^2-12x-12y=0 and x^2+y^2+6x+6y=0 :

Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2x + 6y + 6 = 0 touch each other and find the point of contact.

The circles x^2 + y^2 + 6x + 6y = 0 and x^2 + y^2 - 12x - 12y = 0

For what value of k is the circle x^(2)+y^(2)+5x+3y+7=0 and x^(2)+y^(2)-8x+6y+k=0 cut each other orthogonally.

The locus of the centre of circle which cuts the circles x^2 + y^2 + 4x - 6y + 9 =0 and x^2 + y^2 - 4x + 6y + 4 =0 orthogonally is

For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.

Show that the circles x^(2)+y^(2)-6x+4y+4=0and x^(2)+y^(2)+x+4y+1=0 cut orthogonally.