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Core Pure: complex numbers

Quick questions on Roots of unity and complex loci: nth roots, regular polygons, circles and half-lines - OCR A-Level Further Maths A

2short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?
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State the centre and radius of the locus z+12i=3|z + 1 - 2i| = 3. [2 marks]
What is q2?
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How many distinct fifth roots does a non-zero complex number have, and how are they arranged? [2 marks]

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