CAIE P2 2011 November — Question 8

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2011
SessionNovember
TopicImplicit equations and differentiation
8 The equation of a curve is \(2 x ^ { 2 } - 3 x - 3 y + y ^ { 2 } = 6\).
  1. Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \frac { 4 x - 3 } { 3 - 2 y }\).
  2. Find the coordinates of the two points on the curve at which the gradient is - 1 .
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