CAIE FP1 2019 June — Question 6

Exam BoardCAIE
ModuleFP1 (Further Pure Mathematics 1)
Year2019
SessionJune
TopicPolynomial Division & Manipulation

6 The curve \(C\) has equation $$y = \frac { x ^ { 2 } } { k x - 1 }$$ where \(k\) is a positive constant.
  1. Obtain the equations of the asymptotes of \(C\).
  2. Find the coordinates of the stationary points of \(C\).
  3. Sketch \(C\).