| Exam Board | OCR |
|---|---|
| Module | FP1 AS (Further Pure 1 AS) |
| Year | 2017 |
| Session | Specimen |
| Marks | 4 |
| Topic | Complex Numbers Argand & Loci |
| Type | Region shading with multiple inequalities |
| Difficulty | Moderate -0.3 This is a straightforward locus question requiring students to identify and sketch two standard regions: a filled circle centered at (3,4) with radius 5, and a half-plane (perpendicular bisector of the segment from origin to 2). While it's Further Maths content, these are routine geometric interpretations of modulus conditions with no problem-solving or novel insight required, making it slightly easier than an average A-level question. |
| Spec | 4.02k Argand diagrams: geometric interpretation |
Draw the region of the Argand diagram for which $|z - 3 - 4i| \leq 5$ and $|z| \leq |z - 2|$. [4]
\hfill \mbox{\textit{OCR FP1 AS 2017 Q4 [4]}}