9231 P13 - Jun 2019 - Q6 - 9 marks
5831
6 The curve \(C\) has equation
\(y=\frac{x^{2}}{k x-1}\)
where \(k\) is a positive constant.
(i) Obtain the equations of the asymptotes of \(C\).
(ii) Find the coordinates of the stationary points of \(C\).
(iii) Sketch \(C\).
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