AQA C4 2007 June — Question 5

Exam BoardAQA
ModuleC4 (Core Mathematics 4)
Year2007
SessionJune
TopicImplicit equations and differentiation
5 The point \(P ( 1 , a )\), where \(a > 0\), lies on the curve \(y + 4 x = 5 x ^ { 2 } y ^ { 2 }\).
  1. Show that \(a = 1\).
  2. Find the gradient of the curve at \(P\).
  3. Find an equation of the tangent to the curve at \(P\).
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