OCR H240/01 2018 June — Question 10

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2018
SessionJune
TopicParametric equations

10 A curve has parametric equations \(x = t + \frac { 2 } { t }\) and \(y = t - \frac { 2 } { t }\), for \(t \neq 0\).
  1. Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\), giving your answer in its simplest form.
  2. Explain why the curve has no stationary points.
  3. By considering \(x + y\), or otherwise, find a cartesian equation of the curve, giving your answer in a form not involving fractions or brackets.