Home
Class 12
MATHS
Find the equation of the common chord of...

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.

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 .

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 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 .

Find the equation of the common chord of the following pair of circles. x^2 + y^2 + 3y+ 1 = 0 , x^2 + y^2 + 4x + 3y + 2 = 0 .

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

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

Find the equation and length of the common chord of the following circles. x^2 + y^2 + 2x + 2y + 1 = 0 , x^2 + y^2 + 4x + 3y + 2 = 0 .