Question 112
Two circles intersect at points $A$ and $B$. Through the point $B$ a straight line is drawn, intersecting the first circle at $K$ and the second circle at $M$. A line parallel to $AM$ is tangent to the first circle at $Q$. The line $AQ$ intersects the second circle again at $R$.
a. Prove that the tangent to the second circle at $R$ is parallel to $AK$.
b. Prove that these two tangents are concurrent with $KM$.
a. Prove that the tangent to the second circle at $R$ is parallel to $AK$.
b. Prove that these two tangents are concurrent with $KM$.