CAIE Further Paper 1 2024 June — Question 7

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2024
SessionJune
TopicPolar coordinates

7 The curve \(C\) has polar equation \(r ^ { 2 } = \sin 2 \theta \cos \theta\), for \(0 \leqslant \theta \leqslant \pi\).
  1. Sketch \(C\) and state the equation of the line of symmetry.
  2. Find a Cartesian equation for \(C\).
  3. Find the total area enclosed by \(C\).
  4. Find the greatest distance of a point on \(C\) from the pole.
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