(a)[4]
On an Argand diagram sketch, shade the set of points corresponding to complex numbers $z$ that satisfy the inequalities $|z - 4 - 2i| \leq 3$ and $|z| \geq |10 - z|$.
(b)[2]
Find the largest value of $\arg z$ for points in this region.
Mathematics 9709 · AS & A Level · Complex numbers