Find the modulus and argument of $w^2$ and $w^3$, and show all your working.
(ii)[4]
The points on an Argand diagram that represent $w$ and $w^2$ are the ends of a diameter of a circle. Find the equation of the circle, and give your answer in the form $|z - (a + bi)| = k$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use a correct method to determine the modulus of $w^2$ or $w^3$” …