1

GATE CE 2015 Set 1

MCQ (Single Correct Answer)

+1

-0.3

Consider the following complex function $$f\left( z \right) = {9 \over {\left( {z - 1} \right)\left( {z + 2} \right)}}.$$ Which of the following is ONE of the residues of the above function ?

2

GATE CE 2014 Set 2

MCQ (Single Correct Answer)

+1

-0.3

$$z = {{2 - 3i} \over { - 5 + i}}$$ can be expressed as

3

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

4

GATE CE 2010

MCQ (Single Correct Answer)

+1

-0.3

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

Questions Asked from Complex Variable (Marks 1)

Number in Brackets after Paper Indicates No. of Questions

GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude