4.02: Perpendicular bisector and distance ratio

0606/12/M/J/26 — Question 2 · 7 marks

\(A=(-2,3)\) and \(B=(8,-3)\).
(a)
The perpendicular bisector of \(AB\) passes through \(C=(0,c)\). Find \(c\).
[3]
(b)
\(D=(2,-1)\) and \(BD=\dfrac n2AD\), where \(n\) is an integer. Find \(n\).
[4]