7 Three points \(A , B\) and \(C\) have coordinates \(A ( 8,17 ) , B ( 15,10 )\) and \(C ( - 2 , - 7 )\)
7
- Show that angle \(A B C\) is a right angle.
7 - \(\quad A , B\) and \(C\) lie on a circle.
7 - Explain why \(A C\) is a diameter of the circle.
7
- (ii) Determine whether the point \(D ( - 8 , - 2 )\) lies inside the circle, on the circle or outside the circle.
Fully justify your answer.