 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2016/paper-1/11/b/solution

A quotient with nonzero denominator has zero complex modulus exactly when its numerator is zero. Thus

z = i, a single point .

At that point

z^{*} - i = - 2 i \neq = 0

, so the solution is admissible.

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