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 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

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 2015 Set 1

MCQ (Single Correct Answer)

+1

-0.3

Given two complex numbers $${z_1} = 5 + \left( {5\sqrt 3 } \right)i$$ and $${z_2} = {2 \over {\sqrt 3 }} + 2i,$$ the argument of $${{{z_1}} \over {{z_2}}}$$ in degrees $$i$$

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