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On an Argand diagram sketch, shade the set of complex numbers $z$ that satisfy both $|z - 1 - 3i| \leq 2$ and $|z| \geq 4$.
Mathematics 9709 · AS & A Level · Complex numbers
On an Argand diagram sketch, shade the set of complex numbers $z$ that satisfy both $|z - 1 - 3i| \leq 2$ and $|z| \geq 4$.
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Draw a circle centred at $1+3i$; include some indication of scale on each axis.” …