CAIE P1 2018 June — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2018
SessionJune
TopicStraight Lines & Coordinate Geometry

5
\includegraphics[max width=\textwidth, alt={}, center]{5df7bd9f-31cc-41a3-b1c0-3ee9366e6d8a-08_558_785_258_680} The diagram shows a kite \(O A B C\) in which \(A C\) is the line of symmetry. The coordinates of \(A\) and \(C\) are \(( 0,4 )\) and \(( 8,0 )\) respectively and \(O\) is the origin.
  1. Find the equations of \(A C\) and \(O B\).
  2. Find, by calculation, the coordinates of \(B\).