Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

On an Argand diagram sketch, shade the set of points corresponding to complex numbers $z$ that satisfy the stated inequalities.

(main)[4]

Shade the set of points for which $|z - 3 - i| \leq 3$ and $|z| \geq |z - 4i|$.

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 whose centre is $3+i$.” …