Moderate -0.3 This is a straightforward Further Maths question requiring students to sketch two standard loci: a circle centered at √3 + i with radius 2, and a half-line from the origin at angle π/6. While it's Further Maths content (making it harder than basic A-level), it's a direct application of standard locus definitions with no problem-solving or calculation required, making it slightly easier than average for FP1.
6 Sketch, on a single Argand diagram, the loci given by $| z - \sqrt { 3 } - \mathrm { i } | = 2$ and $\arg z = \frac { 1 } { 6 } \pi$.
\hfill \mbox{\textit{OCR FP1 2012 Q6 [6]}}