Points \(A\) and \(B\) have coordinates \(A(-2,3)\) and \(B(8,-3)\).
The perpendicular bisector of \(AB\) passes through the point \(C(0,c)\).
Find the value of \(c\).[3]
The point \(D\) has coordinates \((2,-1)\).
The lengths of \(AD\) and \(BD\) are such that \(BD=\dfrac{\sqrt n}{2}AD\) where \(n\) is an integer.
Find the value of \(n\).[4]