1

GATE CE 2011

MCQ (Single Correct Answer)

+1

-0.3

For an analytic function $$f\left( {x + i\,y} \right) = u\left( {x,y} \right) + i\,v\left( {x,y} \right),\,u$$ is given by $$u = 3{x^2} - 3{y^2}.$$ The expression for $$v,$$ considering $$k$$ is to be constant is

2

GATE CE 2010

MCQ (Single Correct Answer)

+1

-0.3

The modulus of the complex number $${{3 + 4\,i} \over {1 - 2\,i}}$$ is

3

GATE CE 2009

MCQ (Single Correct Answer)

+1

-0.3

The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$

4

GATE CE 2007

MCQ (Single Correct Answer)

+1

-0.3

Potential function $$\phi $$ is given as $$\phi \, = \,{x^2}\, - \,{y^2}$$. What will be the stream function $$\psi $$ with the condition $$\psi \, = \,0$$ at x = 0, y = 0?

Questions Asked from Complex Variable (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE CE Subjects

Construction Material and Management

Geomatics Engineering Or Surveying

Engineering Mechanics

Transportation Engineering

Strength of Materials Or Solid Mechanics

Reinforced Cement Concrete

Steel Structures

Environmental Engineering

Engineering Mathematics

Structural Analysis

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

General Aptitude