CAIE Further Paper 1 2020 Specimen — Question 3

Exam BoardCAIE
ModuleFurther Paper 1 (Further Paper 1)
Year2020
SessionSpecimen
TopicPolar coordinates

3 Th cn \(C \mathbf { h }\) sp areq tin \(r = 2 + 2\) co \(\theta\), fo \(0 \leqslant \theta \leqslant \pi\).
  1. Sk tch \(C\).
  2. Fid \(b\) area 6 th reg œ \(n\) lo edy \(C\) ad \(b\) in tial lie .
  3. Sh the the Cartesiare q tim \(C\) carb essed \(\mathrm { s } \left( 4 x ^ { 2 } + y ^ { 2 } \right) = \left( x ^ { 2 } + y ^ { 2 } - 2 x \right) ^ { 2 }\). \(\quad [ \beta\)