Find the equation to the circle whose diameter is the common chord of two circles . Hence find the length of the common chord.
The equation of the common chord of the two circles is
Equation of the circle through the points of intersection of 1 and 2 is
Centre of this circle is
If this circle has the common chord as diameter,the centre of the cirdcle lies on the commn chord, hence
The equation of the required circle is
Length of the common chord of 1 and 2 equations is