Let S be the set of points in the complex plane...

Home / Engineering Maths / Complex Variable / Question

Examveda

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)

D. the entire horizontal axis

Answer: Option C

This Question Belongs to Engineering Maths >> Complex Variable

Related Questions on Complex Variable

A. -x² + y² + constant

B. x² - y² + constant

C. x² + y² + constant

D. -(x² + y²) + constant

View Answer

A. 1 + 6i

B. 9 - 8i

C. 9 + 8i

D. 17 + 6i

View Answer

A. $$2\sqrt 2 + 2{\text{i}}$$

B. $$\frac{{ - 1}}{2} + \frac{{{\text{i}}{{\sqrt 3 }^2}}}{2}$$

C. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{2}$$

D. $$\frac{{\sqrt 3 }}{2} - {\text{i}}\frac{1}{8}$$

View Answer

A. 2πnj

C. $$\frac{{\pi {\text{j}}}}{{2\pi }}$$

D. 2πn

View Answer