Mathematics 9709 · AS & A Level · Complex numbers

Complex numbers — practice question

On a sketch of an Argand diagram, indicate by shading the set of points that correspond to complex numbers $z$ meeting the stated inequalities.
(main)[4]

On a sketch of an Argand diagram, shade the set of points representing complex numbers $z$ that satisfy $|z| \leq 3$, $\mathrm{Re}\,z \geq -2$ and $\frac{\pi}{4} \leq \arg z \leq \pi$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Draw a circle of radius $3$ with centre at the origin

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI