 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/ib/paper-1/11f/c/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Here

D f (x, y) - I = (2 x - 1 2 y - 2 y 2 x - 1) .

(2 x - 1) + 2 i y

(2 x - 1)^{2} + 4 y^{2}

. The largest set is therefore

U = {(x, y) : (x - \frac{1}{2})^{2} + y^{2} < \frac{1}{4}} .

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