Let P(α,β) be the mid-point of the chord AB intercepted by the circle x2+y2+4x−2y−3=0 on the line x−y+2=0. The value of α2−β2 is equal to

Let P(α,β) be the mid-point of the chord AB intercepted by the circl

1.	Let P(α,β) be the mid-point of the chord AB intercepted by the circle x2+y2+4x−2y−3=0 on the line x−y+2=0. The value of α2−β2 is equal to
Answer» Let $P (α, β)$ be the mid-point of the chord $A B$ intercepted by the circle $x^{2} + y^{2} + 4 x - 2 y - 3 = 0$ on the line $x - y + 2 = 0 .$ The value of $α^{2} - β^{2}$ is equal to