Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

(a)[2]

Using an Argand diagram, sketch the locus of points corresponding to complex numbers $z$ for which $|z + 3 - 2i| = 2$.

(b)[2]

Find the least value of $|z|$ for points on this locus, and give your answer in exact form.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Show a circle whose centre is $-3+2i$.” …