1
GATE ME 2024
MCQ (Single Correct Answer)
+1
-0.33
Let f(z) be an analytic function, where z = x + iy . If the real part of f(z) is cosh x cos y , and the imaginary part of f(z) is zero for y = 0 , then f(z) is
2
GATE ME 2023
Numerical
+1
-0
The value of k that makes the complex-valued function
𝑓(𝑧) = 𝑒−𝑘𝑥 (cos 2𝑦 − 𝑖 sin 2𝑦)
analytic, where 𝑧 = 𝑥 + 𝑖𝑦, is _________.
(Answer in integer)
Your input ____
3
GATE ME 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Solutions of Laplace's equation having continuous second-order partial derivatives are called
4
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$f\left( z \right) = u\left( {x,y} \right) + i\,\,\,\,v\left( {x,y} \right)$$ is an analytic function of complex variable $$z=x+iy$$ , where $$i = \sqrt { - 1} $$ If $$u(x,y)=2xy,$$ then $$v(x,y)$$ may be expressed as
Questions Asked from Complex Variable (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude