Question 14
The line $PMN$ passes through the center $O$ of a circle, with $P,M,O,N$ in that order, $M,N$ on the circle and $PM=MN$. A ray from $P$ meets the circle at $A$ then $B$, as shown. Find
$$\frac{AM\cdot BM}{AN\cdot BN}.$$
Give your answer as a decimal to 1 decimal place.
Original source figure, preserving its mathematical labels and arrangement.
$$\frac{AM\cdot BM}{AN\cdot BN}.$$
Give your answer as a decimal to 1 decimal place.
Original source figure, preserving its mathematical labels and arrangement.