(a)[3]
Find the radius of the circle and the coordinates of $C$.
(b)[3]
Point $P\,(1, 2)$ lies on the circle. Show that the equation of the tangent to the circle at $P$ is $4y = 3x + 5$.
(c)[2]
The point $Q$ also lies on the circle and $PQ$ is parallel to the $x$-axis. Write down the coordinates of $Q$.
(d)[3]
The tangents drawn at $P$ and $Q$ meet at $T$. Find the coordinates of $T$.