 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2015-resit/1/i/solution

Write

z = x + i y

, with real

x, y

z^{*} = x - i y

, so equating real and imaginary parts gives

4 x = 1

2 y = 1

. Thus the complex plane locus is the single point

z = \frac{1}{4} + \frac{i}{2} .

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