Question 62
Given are two circles $\Omega_P$ and $\Omega_Q$ which intersect at two distinct points $A$ and $B$. Construct a circle $\Omega$ that contains $\Omega_P$ and $\Omega_Q$ and which is tangent to $\Omega_P$ and $\Omega_Q$ at points $P$ and $Q$, respectively, such that $P$, $A$, $Q$ are collinear. Justify your construction.