Question 24
In triangle $ABC$, point $M$ lies on $AB$. Through $B$ draw the line parallel to $CM$, meeting the extension of $AC$ at $N$. Let $E$ be the midpoint of $MN$, and let $AE$ meet $BC$ at $K$. Find $KC/KB$: (a) when $M$ is the midpoint of $AB$; (b) when $AM=AB/\sqrt2$.
