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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
Levelling Traversing Theodolites and Plane Table Surveying Measurement of Area, Volume and Theory of Errors and Survey Adjustment Field Astronomy and Photogrammetric Surveying Basics of GIS, GPS and Remote Sensing 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
Precipitation and Frequency of Rainfall Data Evaporation and Transpiration Infiltration Hydrograph Flood Estimation and Flood Routing
Transportation Engineering
Highway Devolopment and Planning Highway Geometric Design Traffic Engineering Highway Materials Pavement Design Railway, Runway and Taxiway Design
Strength of Materials Or Solid Mechanics
Pure Bending Shear Stress In Beams Simple Stresses Complex Stress Centroid and Moment of Inertia Torsion Shear Force and Bending Moment Deflection of Beams Thin Cylinder Strain Energy Method Columns and Struts 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 Quality Control of Water Treatment of Water Water Demand Waste Water Characteristics Treatment of Sewage Disposal of Sewage Effluent Solid Waste Management Air Pollution Noise Pollution
Engineering Mathematics
Probability and Statistics Calculus Complex Variable Differential Equations Linear Algebra Numerical Methods Vector Calculus Transform Theory
Structural Analysis
Stability and Static Indeterminacy Methods of Analysis Plastic Analysis Moment Distribution Method Indeterminacy Energy Principle Influence Line Diagram Arches and Cable Slope Deflection Method Truss Matrix Method
Geotechnical Engineering
Origin of Soils Definitions and Properties of Soils Classification of Soils and Clay Mineralogy Effective Stress and Permeability Seepage Analysis Compaction of Soil Compressibility and Consolidation Shear Strength of Soil Stress Distribution of Soil Retaining Wall and Earth Pressure Stability of Slopes Shallow Foundation Pile Foundation Soil Stabilization
Fluid Mechanics and Hydraulic Machines
Fluid Pressure and Measurement Fluid Dynamics Boundary Layer Theory Drag and Lift Flow Through Pipes Open Channel Flow Hydraulic Machines Properties of Fluids Fluid Statics
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
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