A circle has centre at the point B (5, 1). The point A (-1, -2) lies on the circle.
(a) Find the equation of the circle.
Point C is such that AC is a diameter of the circle. Point D has coordinates (5, 16).
(b) Show that DC is a tangent to the circle.
The other tangent from D to the circle touches the circle at E.
(c) Find the coordinates of E.