The equation of common chord of given circles is 2x+1=0 The equation of circle passing through the intersection of given circles is, (x2+y2+2x+3y+1)+λ(x2+y2+4x+3y+2)=0 x2(1+λ)+y2(1+λ)+(1+2λ)2x+3y(1+λ)+1+2λ=0 x2+y2+(
1+2λ
1+λ
)2x+3y+
1+2λ
λ+1
=0.....(I) since 2x+1=0 is diameter of circle so −2(−