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 \(E\).
Solutions locked. Please sign in with access to view them.