Find the equation to the common chord of the two circles `x^(2) + y^(2) - 4x + 6y - 36 = 0` and `x^(2) + y^(2) - 5x + 8y - 43 = 0`.

Find the equation of the common chord of the two circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 and show that this chord is perpendicular to the line joining the two centres.

Find the equation of the common chord of the two circles x^(2)+y^(2)-4x - 10y - 7 = 0 and 2x^(2) + 2y^(2) - 5x + 3y + 2 = 0 . Show that this chord is perpendicular to the line joining the centres of the two circles.

The equation of the common chord of the two circles x^(2) +y^(2) + 2x + 3y + 1 = 0 , x^(2) + y^(2) + 4x + 3y + 2 = 0 is

Find the equation to the circle described on the common chord of the circles x^(2) + y^(2) - 4x - 2y - 31 = 0 and 2x^(2) + 2y^(2) - 6x + 8y - 35 = 0 as diameter.

The distanc of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x + 4y - 2 = 0 " and " x^(2) + y^(2) - 2x + 8y + 3 = 0

Find the equation of the common chord of the following pair of circles. x^2 + y^2 - 4y + 3 = 0 , x^2 + y^2 - 5x - 6y + 4 = 0 .

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0

The distance of the point (1,-2) from the common chord of the circles x^(2) + y^(2) - 5x +4y - 2= 0 " and " x^(2) +y^(2) - 2x + 8y + 3 = 0

Find the equation to the circle described on the common chord of the given circles x^(2) + y^(2) - 4x - 5 = 0 and x^(2) + y^(2) + 8x + 7 = 0 as diameter.