Question 3 - A-Level Maths

Exam Board	OCR MEI
Module	Further Pure Core AS (Further Pure Core AS)
Session	Specimen
Topic	Complex Numbers Argand & Loci

Write down, in complex form, the equation of the locus represented by the circle in the Argand diagram shown in Fig. 3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7728fdf9-2000-4265-a0cb-f34a6561c2ca-2_917_825_1334_699} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure}
On the copy of Fig. 3 in the Printed Answer Booklet mark with a cross any point(s) on the circle for which \(\arg ( z - 2 \mathrm { i } ) = \frac { \pi } { 4 }\).