10 Points \(A ( - 2,3 ) , B ( 3,0 )\) and \(C ( 6,5 )\) lie on the circumference of a circle with centre \(D\).
- Show that angle \(A B C = 90 ^ { \circ }\).
- Hence state the coordinates of \(D\).
- Find an equation of the circle.
The point \(E\) lies on the circumference of the circle such that \(B E\) is a diameter. - Find an equation of the tangent to the circle at \(E\).