# Geo4.75

From Example Problems

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.

Now

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