From Point p(2,3) two tangents PA and PB are drawn to the hyperbola x2-y2-4 x+4 y+16=0. The equation of line A B is

Question

From Point p(2,3) two tangents PA and PB are drawn to the hyperbola x2-y2-4 x+4 y+16=0. The equation of line A B is (A) y=3 (B)  y=2 (C) x=1 (D) x=3

Tardigrade Admin · Accepted Answer

2 x-3 y-2(x+2)+2(y+3)=0 -y+2=0 ⇒ y=2

Q. From Point $p (2, 3)$ two tangents PA and PB are drawn to the hyperbola $x^{2} - y^{2} - 4 x + 4 y + 16 = 0$ . The equation of line $A B$ is