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Question: A function f is defined by f(z) = i\(\bar{z}\), where i =\(\sqrt{- 1}\) and \(\bar{z}\)is the comple...

A function f is defined by f(z) = izˉ\bar{z}, where i =−1\sqrt{- 1} and zˉ\bar{z}is the complex conjugate of z. Number of values of z satisfy both |z| = 5 and f(z) = z, is :

A

0

B

1

C

2

D

4

Answer

2

Explanation

Solution

Sol. z = izˉ\bar{z}

x + iy = i(x – iy)

x + iy = ix + y

Ž x = y

Hence two values.