SPS SPS FM 2020 December — Question 9

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2020
SessionDecember
TopicComplex Numbers Argand & Loci

9. Sketch on an Argand diagram the locus of all points that satisfy \(| z + 4 - 4 i | = 2 \sqrt { 2 }\) and hence find \(\theta , \phi \in ( - \pi , \pi ]\) such that \(\theta \leq \arg z \leq \phi\).