CAIE P3 2022 November — Question 5

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2022
SessionNovember
TopicComplex Numbers Argand & Loci

5
  1. On a sketch of an Argand diagram, shade the region whose points represent complex numbers \(z\) satisfying the inequalities \(| z + 2 | \leqslant 2\) and \(\operatorname { Im } z \geqslant 1\).
  2. Find the greatest value of \(\arg z\) for points in the shaded region.