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← Back to Mathematics Extension 2 questions

2022TrialMultiple choice

Q6

1 mark

Question

Which of the following is the locus of $z$ such that
$\arg(z+3i)-\arg(z-i)=\frac\pi2?$

Luna-requested uncropped source page for question 6; requires human review and cropping — Reviewed visual · source page 4

Try the question before revealing the answer.

Solution

Answer: C

Supplied marking guidance · human reviewed

Compare this with your working, not only your final sentence.

Syllabus alignment

Complex Numbers

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

Source

Fort St 2022 4U Trial PaperFort StQuestion paper page 4Guidance page 16View original source ↗

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2022 Mathematics Extension 2 Q6 | HSC Atlas