CAIE P2 2012 November — Question 7

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2012
SessionNovember
TopicImplicit equations and differentiation

7 The equation of a curve is $$3 x ^ { 2 } - 4 x y + 2 y ^ { 2 } - 6 = 0$$
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 3 x - 2 y } { 2 x - 2 y }\).
  2. Find the coordinates of each of the points on the curve where the tangent is parallel to the \(x\)-axis.