2023HSCMultiple choice

Q3

1 mark

Question

A complex number $z$ lies on the unit circle in the complex plane, as shown in the diagram. Which of the following complex numbers is equal to $\bar z$ ?

A. $-z$
B. $z^2$
C. $-z^3$
D. $z^4$

Uncropped source page 3 for question 3; requires human review and cropping — Reviewed visual · source page 3

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Syllabus alignment

Complex Numbers

Geometric representation of a complex numberRepresent complex numbers in the complex plane and use modulus, argument and polar form with their identities.

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