5 In this question you must show detailed reasoning.
Points \(A , B\) and \(C\) have coordinates \(( 0,6 ) , ( 7,5 )\) and \(( 6 , - 2 )\) respectively.
- Find an equation of the perpendicular bisector of \(A B\).
- Hence, or otherwise, find an equation of the circle that passes through points \(A , B\) and \(C\).