CAIE P2 2002 November — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2002
SessionNovember
TopicImplicit equations and differentiation

7 The equation of a curve is $$2 x ^ { 2 } + 3 y ^ { 2 } - 2 x y = 10 .$$
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { y - 2 x } { 3 y - x }\).
  2. Find the coordinates of the points on the curve where the tangent is parallel to the \(x\)-axis.