CAIE P1 2015 November — Question 6

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

6 Points \(A , B\) and \(C\) have coordinates \(A ( - 3,7 ) , B ( 5,1 )\) and \(C ( - 1 , k )\), where \(k\) is a constant.
  1. Given that \(A B = B C\), calculate the possible values of \(k\). The perpendicular bisector of \(A B\) intersects the \(x\)-axis at \(D\).
  2. Calculate the coordinates of \(D\).