Question 6 - A-Level Maths

Sketch on a single Argand diagram the loci given by
(a) $| z - 3 + 4 \mathrm { i } | = 5$,
(b) $| z | = | z - 6 |$.
Indicate, by shading, the region of the Argand diagram for which $$| z - 3 + 4 i | \leqslant 5 \quad \text { and } \quad | z | \geqslant | z - 6 | .$$