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1
GATE CE 2010
MCQ (Single Correct Answer)
+1
-0.3
The modulus of the complex number $${{3 + 4\,i} \over {1 - 2\,i}}$$ is
A
$$5$$
B
$$\sqrt 5 $$
C
$${1 \over {\sqrt 5 }}$$
D
$${1 \over 5}$$
2
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
The analytical function has singularities at, where $$f(z) = {{z - 1} \over {{z^2} + 1}}$$
A
1 and -1
B
1 and i
C
1 and -i
D
i and -i
3
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?
A
$$2xy$$
B
$${x^2}\, + \,\,{y^2}$$
C
$${x^2}\, - \,\,{y^2}$$
D
$$2{x^2}{y^2}$$
4
GATE CE 2005
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following is not true for the complex number z1 and z2 ?
A
$${{{z_1}} \over {{z_2}}} = {{{z_1}\overline {{z_2}} } \over {{{\left| {{z_2}} \right|}^2}}}$$
B
$$\left| {{z_1}\, + \,\,{z_2}} \right| \le \,\left| {{z_1}} \right|\, + \,\left| {{z_2}} \right|$$
C
$$\left| {{z_1}\, + \,\,{z_2}} \right| \le \,\left| {\left| {{z_1}} \right|\, - \,\left| {{z_2}} \right|} \right|$$
D
$${\left| {{z_1}\, + \,\,{z_2}} \right|^2}\, + \,{\left| {{z_1}\, - \,\,{z_2}} \right|^2} = \,\,2{\left| {{z_1}} \right|^2}\, + \,2{\left| {{z_2}} \right|^2}$$
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GATE CE Subjects
Construction Material and Management
Critical Path Method Construction Materials Program Evolution Review Technique
Geomatics Engineering Or Surveying
Angular Measurements and Compass Survey Basic Concepts Linear Measurements and Chain Survey
Engineering Mechanics
Work Energy Principle and Impulse Momentum Equation Equilibrium of Force Systems
Hydrology
Evaporation and Transpiration Precipitation and Frequency of Rainfall Data
Transportation Engineering
Highway Devolopment and Planning Highway Geometric Design
Strength of Materials Or Solid Mechanics
Centroid and Moment of Inertia Torsion Pure Bending Shear Stress In Beams Strain Energy Method Columns and Struts Complex Stress Deflection of Beams Thin Cylinder Simple Stresses Shear Force and Bending Moment Propped Cantilever Beam
Reinforced Cement Concrete
Doubly Reinforced Sections Limit State of Collapse Shear Footings Bond Slabs Limit State of Collapse Torsion Limit State of Serviceability Prestressed Concrete Singly Reinforced Sections Workmenship and Fundamentals Flanged Beams Limit State of Collapse Compression
Steel Structures
Eccentric Connections Plate Girder Tension Members Welded Connections Materials and Specifications Riveted Joints and Bolted Joints Beams Compression Members
Irrigation
Water Requirement of Crops Gravity Dams and Spillways
Environmental Engineering
Sources and Coveyances Water Water Demand Quality Control of Water
Engineering Mathematics
Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Linear Algebra Vector Calculus Numerical Methods
Structural Analysis
Energy Principle Truss Stability and Static Indeterminacy Methods of Analysis Indeterminacy Arches and Cable Slope Deflection Method Matrix Method Moment Distribution Method Influence Line Diagram Plastic Analysis
Geotechnical Engineering
Origin of Soils Definitions and Properties of Soils
Fluid Mechanics and Hydraulic Machines
Properties of Fluids Fluid Statics
General Aptitude
Verbal Ability Numerical Ability
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEE
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12