CAIE P1 2007 November — Question 9

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2007
SessionNovember
TopicStandard Integrals and Reverse Chain Rule

9 A curve is such that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 4 - x\) and the point \(P ( 2,9 )\) lies on the curve. The normal to the curve at \(P\) meets the curve again at \(Q\). Find
  1. the equation of the curve,
  2. the equation of the normal to the curve at \(P\),
  3. the coordinates of \(Q\).