CAIE P1 2016 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionJune
TopicStraight Lines & Coordinate Geometry

8 Three points have coordinates \(A ( 0,7 ) , B ( 8,3 )\) and \(C ( 3 k , k )\). Find the value of the constant \(k\) for which
  1. \(C\) lies on the line that passes through \(A\) and \(B\),
  2. \(C\) lies on the perpendicular bisector of \(A B\).