OCR MEI Paper 3 2022 June — Question 5

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2022
SessionJune
TopicImplicit equations and differentiation

5 A curve is defined implicitly by the equation \(2 x ^ { 2 } + 3 x y + y ^ { 2 } + 2 = 0\).
  1. Show that \(\frac { d y } { d x } = - \frac { 4 x + 3 y } { 3 x + 2 y }\).
  2. In this question you must show detailed reasoning. Find the coordinates of the stationary points of the curve.