Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
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

A

cosh x exp (−iy)

B

cosh z exp z

C

cosh z cos y

D

cosh z

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 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
A
$$ - {x^2} + {y^2} + $$ constant
B
$$ {x^2} - {y^2} + $$ constant
C
$$ {x^2} + {y^2} + $$ constant
D
$$ - \left( {{x^2} + {y^2}} \right) + $$ constant
4
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
A
biharmonic functions
B
harmonic functions
C
conjugate harmonic functions
D
error functions
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