Vidyalelo
Engineering Maths · Q40

Complex Variable

Engineering and GATE · Engineering Maths · question 40

Q40

Let S be the set of points in the complex plane corresponding to the unit circle. (That is, 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 of the following in the complex plane

A.
unit circle
B.
horizontal axis line segment from origin to (1, 0)
C.
the point (1, 0)
Answer
D.
the entire horizontal axis

Answer: Option C

Solution

Answer: Option C
No explanation is given for this question Let's Discuss on Board