Mathematics - Circle Question with Solution | TestHub

Circles $C_1$ and $C_2$ having centres $G_1$ and $G_2$ respectively intersect each other at the points A and B. Secants $L_1$ and $L_2$ are drawn to the circles $C_1$ and $C_2$ to intersect them in the points $A_1,B_1$ and $A_2,B_2$ respectively. If the secants $L_1$ and $L_2$ intersect each other at a point P in the exterior region of circles $C_1$ and $C_2$ and $P{A}_1\times P{B}_1=P{A}_2\times P{B}_2$, then which of the following statements is false