CAIE P1 2002 June — Question 3

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2002
SessionJune
TopicAreas Between Curves

3
\includegraphics[max width=\textwidth, alt={}, center]{b2cefbd6-6e89-495a-9f42-60f76c8c5975-2_629_659_715_740} The diagram shows the curve \(y = 3 \sqrt { } x\) and the line \(y = x\) intersecting at \(O\) and \(P\). Find
  1. the coordinates of \(P\),
  2. the area of the shaded region.