| Exam Board | SPS |
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | December |
| Topic | Complex 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 \(\theta \leq \arg z \leq \phi\).