Find k if the circles `x^2+y^2-5x-14y-34=0` and `x^2+y^2+2x+4y+k=0` are orthogonal to each other.

If the circles x^2+y^2-2x-2y-7=0 and x^2+y^2+4x+2y+k=0 cut orthogonally, then the length of the common chord of the circles is a.(12)/(sqrt(13)) b. 2 c. 5 d. 8

The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally then k=

The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

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

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.

The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-12x-10y+45=0 touch each other is

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.

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.

If the two circles 2x^2+2y^2-3x+6y+k=0 and x^2+y^2-4x+10 y+16=0 cut orthogonally, then find the value of k .