3. The points A(3,6), B (2,3) and D (a, 4) lies on the circle, as shown in the diagram below. TY D(α,4) A(3,6) B(2,3) • F (6,2) X Given that AD is a diameter of the circle. (a) Show that a = -1. (b) Find the equation of the circle. (c) Find the length of the tangent to the circle from the point F(6,2). [3 marks] [5 marks] [4 marks]
