3. Complex Numbers

Complex Basics — Quiz

Test your understanding of complex basics with 5 practice questions.

Practice Questions

Question 1

Multiplying a complex number $z$ by $-2i$ on the Argand diagram effects which transformation?

Question 2

Which of the following is a cube root of $-8$?

Question 3

The locus defined by $\lvert z-(2+3i)\rvert=\lvert z-(2-3i)\rvert$ on the Argand diagram corresponds to which set of points?

Question 4

The locus of points satisfying $\lvert z\rvert=\Re(z)$ is which ray on the Argand diagram?

Question 5

If $\Arg(z_1)=150^\circ$ and $\Arg(z_2)=-30^\circ$, what is $\Arg\bigl(\tfrac{z_1}{z_2}\bigr)$ in degrees?