Edexcel F1 2018 Specimen — Question 2

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2018
SessionSpecimen
TopicConic sections

  1. A parabola \(P\) has cartesian equation \(y ^ { 2 } = 28 x\). The point \(S\) is the focus of the parabola \(P\).
    1. Write down the coordinates of the point \(S\).
    Points \(A\) and \(B\) lie on the parabola \(P\). The line \(A B\) is parallel to the directrix of \(P\) and cuts the \(x\)-axis at the midpoint of \(O S\), where \(O\) is the origin.
  2. Find the exact area of triangle \(A B S\).