## Complex Function Theory Questions and Answers – Differentiability

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

## Complex Function Theory Questions and Answers – Continuity

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

## Complex Analysis Questions and Answers – Functions of a Complex Variable

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

## Complex Analysis Questions and Answers – Regions in the Complex Plane

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

## Complex Analysis Questions and Answers – Roots of Complex Numbers

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

## Complex Analysis Questions and Answers – Complex Conjugates

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

## Complex Numbers Questions and Answers – Logarithm of Complex Numbers

This set of Complex Analysis Questions and Answers for Campus interviews focuses on “Logarithm of Complex Numbers”. 1. Find the value of log⁡(-6). a) log6+2iπ b) log⁡36+iπ c) log6+2iπ d) log6+iπ 2. Find the value of log2(-3). a) b) c) d) 3. Represent ii in terms of e. a) b) c) d) Sanfoundry Global Education … Read more

## Complex Numbers Questions and Answers – Expansion of Trigonometric Functions

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Expansion of Trigonometric Functions”. 1. The Taylor series for f(x)=7×2-6x+1 at x=2 is given by a+b(x-2)+c(x-2)2. Find the value of a+b+c. a) -1 b) 0 c) 17 d) 46 2. Find the Taylor Series for the function about x=-4. a) b) c) … Read more

## Complex Numbers Question and Answers – DeMoivre’s Theorem

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “DeMoivre’s Theorem”. 1. Find the value of (1+i)100. a) 2100 (cos⁡100π+isin100π) b) 2100 (cos⁡25π+isin25π) c) 250 (cos⁡100π+isin100π) d) 250 (cos⁡25π+isin25π) 2. Find the value of (1-i)100. a) 2100 (cos⁡100π-isin100π) b) 2100 (cos⁡25π-isin25π) c) 250 (cos⁡25π-isin25π) d) 250 (cos⁡100π-isin100π) 3. If , find … Read more 