0606 P12 - Mar 2021 - Q3 - 6 marks
7920
The line \(AB\) is such that the points \(A\) and \(B\) have coordinates \((-4,6)\) and \((2,14)\) respectively.
(a) The point \(C\), with coordinates \((7,a)\), lies on the perpendicular bisector of \(AB\). Find the value of \(a\).
(b) Given that the point \(D\) also lies on the perpendicular bisector of \(AB\), find the coordinates of \(D\) such that the line \(AB\) bisects the line \(CD\).
