Category Archives: Engineering Mathematics MCQ

This set of Complex Mapping Multiple Choice Questions & Answers (MCQs) focuses on “Bilinear Transformation”. 1. Which of the following is the bilinear transformation that maps the points z=0, -1, i onto the points w= 0, -1, i respectively? a) b) c) d) 2. Which of the following is the bilinear transformation that maps the … Read more

This set of Complex Mapping Multiple Choice Questions & Answers (MCQs) focuses on “Transformation w = sin z”. 1. Which of the following is the image in w plane when x = 0 under the transformation w=sin⁡z? a) u=0 b) v=0 c) d) 2. Which of the following is the image in w plane when … Read more

This set of Complex Mapping Multiple Choice Questions & Answers (MCQs) focuses on “Transformation w = ez“. 1. What is the region of the w plane into which the rectangular region in the Z plane bounded by the lines x = 0, y = 0, x = 1 and y = 2 is mapped under … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Mapping w = z^2”. 1. Which of the following is the image of the hyperbola x2-y2=10 under the transformation w= z2 if w = u + i v? a) u=10 b) u=15 c) u=30 d) u=20 2. Which of the following regions … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Evaluation of Real Integrals”. 1. Which of the following values is obtained by evaluating dθ , a > |b|? a) b) c) d) 2. Which of the following values is obtained by evaluating ? a) b) c) d) 3. Which of the … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Residue Theorem”. 1. Which of the following is the bilinear transformation that maps the points z=0,1, i onto the points w=i,0, ∞ respectively? a) b) c) d) 2. Which of the following is the bilinear transformation that maps the points ∞, i, … Read more

This set of Complex Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Residue”. 1. Which of the following is the residue of at z = 0 ? a) -4/3 b) 2/3 c) -2/3 d) 1/3 2. Which of the following is the residue of f(z) = tan tan z at its singularity? a) -1 … Read more

This set of Complex Integration Multiple Choice Questions & Answers (MCQs) focuses on “Zeros and Poles”. 1. Which of the following zeroes is obtained by evaluating the function f(z)= ? a) z = i; z = -i b) z = 1; z = -1 c) z = 2; z = -2 d) z = 0 … Read more

This set of Complex Integration Multiple Choice Questions & Answers (MCQs) focuses on ” Laurent Series”. 1. Which of the following is obtained by evaluating valid in the region 2

This set of Complex Integration Multiple Choice Questions & Answers (MCQs) focuses on “Taylor’s Series”. 1. Which of the following expansions is obtained by expanding ez as a Taylor’s series about z=0? a) b) c) d) 2. Which of the following expansions is obtained by expanding f (z) = log (1+z) as a Taylor’s Series … Read more