The equations of two circles are:L1 ekuivalen

The equations of two circles are:L1 ekuivalen (x-a)^2+y^2=a^2 and L2 ekuivalen x^2+(y-b)^2=b^2Prove that the equation of the circle whose diameter is their common chord is (a^2+b^2)(x^2+y^2)=2 ab(bx+ay).