(a)[3]
Show that the point $T(-6, 6)$ lies outside the circle.
(b)[2]
Two tangents are drawn from $T$ to the circle. Show that the angle between one of the tangents and $CT$ is $45^\circ$.
(c)[4]
The two tangents touch the circle at $A$ and $B$. Find the equation of line $AB$, giving your answer in the form $y = mx + c$.
(d)[3]
Find the $x$-coordinates of $A$ and $B$.