Question 5
Two circles $k_1$ and $k_2$ with the same radius intersect at points $B$ and $C$. The center $O_1$ of $k_1$ lies on $k_2$ and the center $O_2$ of $k_2$ lies on $k_1$. $AB$ is a diameter of $k_1$, and $AO_2$ intersects $k_2$ at points $M$ and $N$, with $M$ between $A$ and $O_2$. The extensions of $CM$ and $NB$ intersect at point $P$. Find $CP:CN$.
Answer: ______ : ______
Entry format: enter an exact ratio, using sqrt(...) for a square root.
Answer: ______ : ______
Entry format: enter an exact ratio, using sqrt(...) for a square root.