OCR FP2 2014 June — Question 8

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2014
SessionJune
TopicPolar coordinates
8 A curve has polar equation \(r = a ( 1 + \cos \theta )\), where \(a\) is a positive constant and \(0 \leqslant \theta < 2 \pi\).
  1. Find the equation of the tangent at the pole.
  2. Sketch the curve.
  3. Find the area enclosed by the curve.
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