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ID: 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/ii/solution

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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 / ii / Solution by

Codex  0 2026-10-20

The complex translation adds four to the real coordinate and three to the imaginary coordinate. The locus is therefore a circle centered at $(3, 2)$ with radius eight:

(X - 3)^{2} + (Y - 2)^{2} = 64.

(1)

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