GATE Electrical Engineering (EE) 2014 Shift 1 Solved Paper

Question : 15 of 65

Marks: +1, -0

Let

S

be the set of points in the complex plane corresponding to the unit circle.

(\:i.e.,\:S = \{Z: |Z{{}/{}|} = 1\} )

.
Consider the function.

f (z) = zz^{ ∗ },\:

where

\:z^{ ∗ }

denotes the complex conjugate of

z

. The

f (z)

maps

S

to which one the following in the complex plane?

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