2022TrialMultiple choice

Q8

1 mark

Question

If the complex number $z$ has $|z|>1$ and $\frac\pi2<\operatorname{Arg}(z)<\pi$ , and $\overrightarrow{OA}=z$ , then if the two square roots of $z$ are $\overrightarrow{OP}$ and $\overrightarrow{OQ}$ , $P$ and $Q$ could be at:

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Syllabus alignment

Complex Numbers

Geometrical implications of complex numbersInterpret complex-number operations geometrically and solve problems involving roots and loci in the complex plane.
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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