Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

On an Argand diagram sketch, indicate by shading the set of points for complex numbers $z$ that satisfy the stated inequalities.

(main)[4]

Shade the set of complex numbers $z$ that satisfy $|z + 1 - i| \leq 1$ and $\arg(z - 1) \leq \frac{3\pi}{4}$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Draw a circle with centre $-1+i$” …