(i)[3]
With your working shown, write $w^2$ as $x + iy$, where $x$ and $y$ are real numbers, and determine the modulus of $w^2$.
(ii)[3]
On an Argand diagram, shade the set of points for the complex numbers $z$ that satisfy $|z - w^2| \leq |w^2|$.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
The complex number $w$ is given by $w = 2 + i$.