(a)[2]
On the Argand diagram shown below, sketch the locus of the points that represent $z$.
(b)[2]
On the same diagram, sketch the locus of the points that represent $z^2$.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
The complex number $z$ obeys $|z| = 2$ and $0 \leq \arg z \leq \frac{1}{4}\pi$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Draw an arc of a circle, with centre at the origin and radius $2$ (for example, through $2$ on $\Re(z)$ or $2i$ on $\Im(z)$).” …
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