| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Complex Numbers Argand & Loci |
| Type | Circle equations in complex form |
| Difficulty | Moderate -0.8 This is a straightforward recognition question requiring students to identify a circle in the Argand diagram and write its equation in the form |z - a| = r. It tests basic understanding of complex loci representation but requires no calculation, problem-solving, or multi-step reasoning—just direct application of a standard formula. |
| Spec | 4.02o Loci in Argand diagram: circles, half-lines |
| Answer | Marks | Guidance |
|---|---|---|
| \(\arg(z-(2-2j))=\frac{\pi}{4}\) | B1 | Equation involving arg(complex variable) |
| B1 | Argument (complex expression) = \(\frac{\pi}{4}\) | |
| B1 [3] | All correct |
# Question 4:
$\arg(z-(2-2j))=\frac{\pi}{4}$ | B1 | Equation involving arg(complex variable)
| B1 | Argument (complex expression) = $\frac{\pi}{4}$
| B1 [3] | All correct
---4 Write down the equation of the locus represented in the Argand diagram shown in Fig. 4.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{35094899-149c-438e-b6c8-b333d2fefc0c-2_474_497_1932_824}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
\hfill \mbox{\textit{OCR MEI FP1 2009 Q4 [3]}}