GATE2018IN: 2

Question

Let f$_1$(Z) =Z$^2$ and f$_2$(Z) = $\overline{z}$ be two complex variable functions. Here $\overline{z}$ is the complex conjugate of z. Choose the correct answer

• A. Both f$_1$(Z) and f$_2$(Z) are analytic
• B. Only f$_1$(Z) is analytic
• C. Only f$_2$(Z) is analytic
• D. Both f$_1$(Z) and f$_2$(Z) are not analytic