1. Further Pure 1

Complex Numbers — Quiz

Test your understanding of complex numbers with 5 practice questions.

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Practice Questions

Question 1

What is the imaginary part of the complex number $z = 5 - 7i$?

Question 2

If $z = 2 + 3i$, what is $z \cdot \bar{z}$?

Question 3

Which of the following is the correct representation of the complex number $z = -\sqrt{3} + i$ in polar form?

Question 4

What is the result of multiplying the complex numbers $(2 + i)$ and $(1 - 3i)$?

Question 5

Which of the following equations represents the locus of points $|z - (1 + i)| = 2$ on an Argand diagram?