Find the equation to the circle orthogonal to the two circles `x^2+y^2 - 4x – 6y +11= 0; x^2 +y^2 - 10x - 4y + 21 = 0` and has `2x + 3y =7` as diameter.

Find the equation to the circle orthogonal to the two circles x^(2)+y^(2)-4x6y+11=0;x^(2)+y^(2)-10x-4y+21=0 and has 2x+3y=7 as diameter.

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 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 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 whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0