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Q#1 Complex Functions GATE EE 2014 MCQ +1 mark -0.33 marks

Let  be the set of points in the complex plane corresponding to the unit circle: . Consider the function  where  denotes the complex conjugate of . The f(z) maps S to which one of the following in the complex plane.

Unit circle

Horizontal axis line segment from origin to (1,0)

The point (1,0)

Entire horizontal axis

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