CAIE P1 2007 June — Question 6

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2007
SessionJune
TopicStraight Lines & Coordinate Geometry

6
\includegraphics[max width=\textwidth, alt={}, center]{b24ed4c7-ab07-45f4-adf2-027734c36b62-3_593_878_269_635} The diagram shows a rectangle \(A B C D\). The point \(A\) is \(( 2,14 ) , B\) is \(( - 2,8 )\) and \(C\) lies on the \(x\)-axis. Find
  1. the equation of \(B C\),
  2. the coordinates of \(C\) and \(D\).