| Exam Board | OCR |
|---|---|
| Module | Further Pure Core 1 (Further Pure Core 1) |
| Year | 2021 |
| Session | June |
| Marks | 3 |
| Topic | Complex Numbers Argand & Loci |
| Type | Region shading with multiple inequalities |
| Difficulty | Standard +0.3 This question requires identifying two standard loci (perpendicular bisector and circle) and shading their intersection. While it involves Further Maths content, the techniques are routine: |z| ≤ |z-4| gives the half-plane Re(z) ≥ 2, and |z-3-2i| ≤ 2 is a standard circle. The intersection requires no novel insight, just careful diagram work. |
| Spec | 4.02k Argand diagrams: geometric interpretation |
1 Indicate by shading on an Argand diagram the region
$$\{ z : | z | \leqslant | z - 4 | \} \cap \{ z : | z - 3 - 2 i | \leqslant 2 \} .$$
\hfill \mbox{\textit{OCR Further Pure Core 1 2021 Q1 [3]}}