If the tangents are drawn from any point on the line x +y= 3 to the circle x2+y2=9,then the chord of contact passes through the Point

Let (α,3−α) be any point on ,x+y=3.Then, the equation of chord of contact isαx+(3−α)y=9α(x−y)+3y−9=0Therefore, the chord passes though the point (3, 3) for all values of α.