| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2008 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Argand & Loci |
| Type | Intersection of two loci |
| Difficulty | Standard +0.3 This is a straightforward Further Maths FP1 loci question requiring students to sketch a circle and a half-line, then identify their intersections. While it involves multiple parts and requires understanding of modulus-argument geometry, the techniques are standard and the geometric reasoning is direct with no algebraic complexity or novel insight required. |
| Spec | 4.02k Argand diagrams: geometric interpretation4.02o Loci in Argand diagram: circles, half-lines |
2 Indicate on a single Argand diagram\\
(i) the set of points for which $| z - ( - 3 + 2 \mathrm { j } ) | = 2$,\\
(ii) the set of points for which $\arg ( z - 2 \mathrm { j } ) = \pi$,\\
(iii) the two points for which $| z - ( - 3 + 2 \mathrm { j } ) | = 2$ and $\arg ( z - 2 \mathrm { j } ) = \pi$.
\hfill \mbox{\textit{OCR MEI FP1 2008 Q2 [7]}}