CAIE P1 2005 November — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2005
SessionNovember
TopicStraight Lines & Coordinate Geometry

7 Three points have coordinates \(A ( 2,6 ) , B ( 8,10 )\) and \(C ( 6,0 )\). The perpendicular bisector of \(A B\) meets the line \(B C\) at \(D\). Find
  1. the equation of the perpendicular bisector of \(A B\) in the form \(a x + b y = c\),
  2. the coordinates of \(D\).