The centre of the circle that cuts the circle `x^2 +y^2 + 2g x + 2fy + c = 0` and lines `x = g and y = f` orthogonally is

The centre of the circle that cuts the circle x^(2)+y^(2)+2gx+2fy+c=0 and lines x=g and y=f orthogonally is

Equation of a circle that cuts the circle x^2 + y^2 + 2gx + 2fy + c = 0 , lines x=g and y=f orthogonally is : (A) x^2 + y^2 - 2gx - 2fy - c = 0 (B) x^2 + y^2 - 2gx - 2fy - 2g^2 - 2f^2 - c =0 (C) x^2 + y^2 + 2gx + 2fy + g^ + f^2 - c = 0 (D) none of these

The locus of the centers of the circles which cut the circles x^(2) + y^(2) + 4x – 6y + 9 = 0 and x^(2) + y^(2) – 5x + 4y – 2 = 0 orthogonally is

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)+4x+6y+4=0 orthogonally

The locus of the centre of all circle which cuts the circle x^(2)+y^(2)+4x-6y+9=0 and x^(2)+y^(2)-4x+6y+4=0 orthogonlly is

The locus of the centre of a circle which cuts the circles 2x^(2)+2y^(2)-x-7=0 and 4x^(2)+4y^(2)-3x-y=0 orthogonally is a straight line whose slope is (A)-1 (B) 1(C)-2(D)-(5)/(2)

Find the equation of circle passing through the origin and cutting the circles x^(2) + y^(2) -4x + 6y + 10 =0 and x^(2) + y^(2) + 12y + 6 =0 orthogonally.

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