This set of Complex Integration Multiple Choice Questions & Answers (MCQs) focuses on “Cauchy’s Integral Formula”. 1. Which of the following is obtained by evaluating , where C is |z|=4 ? a) 2πi b) 6πi c) 8πi d) Πi 2. Which of the following values is obtained by evaluating , where C is |z| =1? … Read more
This set of Complex Integration Multiple Choice Questions & Answers (MCQs) focuses on “Cauchy’s Integral Theorem”. 1. Which of the following is the statement of Cauchy’s Integral Theorem? a) If a function f (z) is analytic and its derivative f’ (z) is continuous at all points inside and on a simple closed curve C, then … Read more
This set of Complex Function Theory Multiple Choice Questions & Answers (MCQs) focuses on “Cauchy-Riemann (C-R) Equations”. 1. The function f(z) = xy + iy is continuous everywhere but not differential anywhere. a) True b) False 2. Which of the following is the derivative of the function f(z) = zn? a) nzn-1 b) 1 c) … Read more
This set of Complex Function Theory Multiple Choice Questions & Answers (MCQs) focuses on “Analyticity”. 1. Which of the following is the function such that w = u + iv is analytic, ifu = ex siny? a) -iez + C b) iez + C c) ez + C d) -ez + C 2. Which of … Read more
This set of Complex Analysis Objective Questions & Answers focuses on “Differentiability”. 1. Which of the following is true? a) Differentiability does not imply continuity b) Differentiability implies continuity c) Continuity implies differentiability d) There is no relation between continuity and differentiable 2. Which of the following is correct about the function f(x)=|x+5|? a) Left … Read more
This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Continuity”. 1. The function f(x, y)= is which of the following? a) Discontinuous at origin b) Discontinuous at (1, 1) c) Continuous at origin d) Discontinuous at (2, 2) 2. The function f(x, y)= is continuous at (1, 1). a) True b) … Read more
This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Functions of a Complex Variable”. 1. Find the domain of the function defined by f(z)=z/(z+z̅). a) Im(z)≠0 b) Re(z)≠0 c) Im(z)=0 d) Re(z)=0 2. Let f(z)=z+1/z. What will be the definition of this function in polar form? a) (r+1/r)cosθ+i(r-1/r)sinθ b) (r-1/r)cosθ+i(r+1/r)sinθ c) … Read more
This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Regions in the Complex Plane”. 1. What is the shape of the region formed by the set of complex numbers z satisfying |z-ω|≤ α? a) circle of radius ω b) circle with center ω c) disk of radius α d) disk with … Read more
This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Roots of Complex Numbers. 1. The nth roots of any number are in ____________ a) arithmetic progression b) geometric progression c) harmonic progression d) no specific pattern 2. In the Argand Plane shown below, a,b,c,d are the 4-th roots of 16. Find … Read more
This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Complex Conjugates”. 1. Consider two complex numbers, x and y satisfying |x|=|y| and Arg(x)+Arg(y)=π. What is x in terms of y? a) y̅ b) -y̅ c) y d) -y 2. Let two complex numbers z and ω satisfy z > . Find … Read more
