CAIE P3 2023 June — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2023
SessionJune
TopicComplex Numbers Argand & Loci

3
  1. On an Argand diagram, sketch the locus of points representing complex numbers \(z\) satisfying \(| z + 3 - 2 \mathrm { i } | = 2\).
  2. Find the least value of \(| z |\) for points on this locus, giving your answer in an exact form.