Question 3
Let $k_{1}$ be a circle and $l$ a line that meets $k_{1}$ at two distinct points $A$ and $B$. Let $k_{2}$ be another circle outside $k_{1}$ that touches $k_{1}$ at $C$ and $l$ at $D$. Let $T$ be the second intersection point of $k_{1}$ and the line $CD$. Show that $AT = TB$.