CAIE P2 2010 November — Question 8

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2010
SessionNovember
TopicImplicit equations and differentiation

8 The equation of a curve is $$x ^ { 2 } + 2 x y - y ^ { 2 } + 8 = 0$$
  1. Show that the tangent to the curve at the point \(( - 2,2 )\) is parallel to the \(x\)-axis.
  2. Find the equation of the tangent to the curve at the other point on the curve for which \(x = - 2\), giving your answer in the form \(y = m x + c\).