CAIE P3 2012 June — Question 6

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2012
SessionJune
TopicImplicit equations and differentiation
6 The equation of a curve is \(3 x ^ { 2 } - 4 x y + y ^ { 2 } = 45\).
  1. Find the gradient of the curve at the point \(( 2 , - 3 )\).
  2. Show that there are no points on the curve at which the gradient is 1 .
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