CAIE P1 2015 June — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2015
SessionJune
TopicStraight Lines & Coordinate Geometry

7 The point \(C\) lies on the perpendicular bisector of the line joining the points \(A ( 4,6 )\) and \(B ( 10,2 )\). \(C\) also lies on the line parallel to \(A B\) through \(( 3,11 )\).
  1. Find the equation of the perpendicular bisector of \(A B\).
  2. Calculate the coordinates of \(C\).