OCR C4 2010 June — Question 7

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2010
SessionJune
TopicParametric equations

7 The parametric equations of a curve are \(x = \frac { t + 2 } { t + 1 } , y = \frac { 2 } { t + 3 }\).
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } > 0\).
  2. Find the cartesian equation of the curve, giving your answer in a form not involving fractions.