9709 P12 - Nov 2020 - Q9
635
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 \(E\).
