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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2004 / Paper 1 / 10 / b / iii / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge 2004 Paper 1 10 b iii
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Multiplication by i rotates the plane counterclockwise through π/2. The center 3+2i maps to −2+3i, while distances are preserved. Thus the locus is a circle centered at (−2,3) with radius eight:
(X+2)2+(Y−3)2=64.​
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