CAIE P2 2014 June — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2014
SessionJune
TopicImplicit equations and differentiation

7 The equation of a curve is $$2 x ^ { 2 } + 3 x y + y ^ { 2 } = 3$$
  1. Find the equation of the tangent to the curve at the point \(( 2 , - 1 )\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.
  2. Show that the curve has no stationary points.