2023TrialMultiple choice

Q5

1 mark

Question

In the diagram below, $z$ is any complex number which lies on the line $S$ . Which equation best describes the locus of $z$ ?

[Diagram: Argand plane showing the line $S$ and its geometric construction.]

(A) $\displaystyle \arg z=\frac{\pi}{4}$

(B) $\displaystyle \arg z=\frac{3\pi}{4}$

(D) $\lvert z-2\rvert=\lvert z+2i\rvert$

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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.

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