Edexcel F1 2022 January — Question 3

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2022
SessionJanuary
TopicConic sections

3. The parabola \(C\) has equation \(y ^ { 2 } = 18 x\) The point \(S\) is the focus of \(C\)
  1. Write down the coordinates of \(S\) The point \(P\), with \(y > 0\), lies on \(C\) The shortest distance from \(P\) to the directrix of \(C\) is 9 units.
  2. Determine the exact perimeter of the triangle \(O P S\), where \(O\) is the origin. Give your answer in simplest form.