Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

On an Argand diagram, shade the set of points representing complex numbers $z$ that satisfy both inequalities.
(main)[5]

$|z - 3| \leq 2$ together with $\frac{1}{4}\pi \leq \arg(z - 1 - 2i) \leq \frac{3}{4}\pi$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Draw a circle centred at $(0,3)$

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