Find the equation of the common chord of the circles and. Find the points of intersection of the circles.Also find the length of the common chord.
Given circles are
Common chord is
To find the points of intersection,we can simplify the chord equation with any of the circle equations.
Substituting this in the first circle equation,
The values of y are
hence the points are
Length of the common chord =Distance between the points of intersection.
Hence length is