11 A circle with centre \(C\) has equation \(( x - 8 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 100\).
- Show that the point \(T ( - 6,6 )\) is outside the circle.
Two tangents from \(T\) to the circle are drawn. - Show that the angle between one of the tangents and \(C T\) is exactly \(45 ^ { \circ }\).
The two tangents touch the circle at \(A\) and \(B\). - Find the equation of the line \(A B\), giving your answer in the form \(y = m x + c\).
- Find the \(x\)-coordinates of \(A\) and \(B\).
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.