Question 4028 - GATE Electrical Engineering

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Q#1 Complex Functions GATE EE 2021 MCQ +1 mark -0.33 marks

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Let , where is a complex number. Which one of the following is true?

The complex roots of the equation come in conjugate pairs.

All the roots cannot be real.

The sum of the roots of is real number

Conjugate conjugate for all

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Network Analysis

260

Network Basics

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Network Theorems - DC Circuits

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Transient Analysis

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Sinusoidal Steady State Analysis

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Phasor Analysis	0	Browse
Maximum Power Transfer Theorem - AC Circuits	0	Browse
Other Theorems - AC Circuits	0	Browse
Power in AC Circuits	0	Browse
Miscellaneous	0	Browse
Resonance	0	Browse
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Two Port Network

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Graph Theory

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Three Phase Circuits

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Signals and Systems

165

Signals

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Delta Function	0	Browse
Periodic and other Signals	0	Browse
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LTI Systems

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Fourier Series

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Fourier Transform

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Laplace Transform

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Z Transform

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Sampling

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Control Systems

258

Transfer Function

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Transfer Function	0	Browse
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Time Response Analysis

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Stability

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Root Locus Technique

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Frequency Domain Analysis

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Nyquist Plot and Stability Criterion	0	Browse
Gain Margin and Phase Margin	0	Browse
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State Variable Analysis

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Control System Design

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Analog Electronics

184

Diode and Its Applications

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BJT

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JFET

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MOSFET

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Amplifiers

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OP-AMP and its Applications

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Oscillators

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Digital Electronics

148

Number Systems

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Boolean Algebra

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Combinational Circuits

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Sequential Circuits

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Data Converters

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Logic Family

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Memory

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Microprocessor

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Computer Organisation

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Electrical Machines

392

Transformers

109

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Construction of Transformer	0	Browse
Induced EMF - Transformer	0	Browse
Equivalent Circuit - Transformer	0	Browse
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Voltage Regulation - Transformer	0	Browse
Three Phase Transformer	0	Browse
Auto Transformer	0	Browse
Parallel Operation - Transformer	0	Browse
Harmonics in Transformer	0	Browse
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DC Machines

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EMF and Torque Equation	0	Browse
Equivalent Circuit - DC Machines	0	Browse
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Starting, Braking and Testing of DC Motor	0	Browse
Characteristics of DC machines	0	Browse
Electromechanical Energy Conversion	0	Browse
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Synchronous Machines

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Induced EMF - Synchronous Machines	0	Browse
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Equivalent Circuit - Synchronous Machines	0	Browse
Synchronous Impedance	0	Browse
Power Angle Equation	0	Browse
Parallel Operation - Synchronous Machines	0	Browse
Losses and Efficiency - Synchronous Machines	0	Browse
Voltage Regulation - Synchronous Machines	0	Browse
Droop Characteristics	0	Browse
Salient Pole Machines	0	Browse
Synchronous Motor	0	Browse
Cascading of Machines	0	Browse
Contruction and Physical Phenomenon	0	Browse
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Induction Machines

111

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Construction and Rotating Magnetic Field	0	Browse
Equivalent Circuit - Induction Machines	0	Browse
Torque Slip Characteristics	0	Browse
Power and Efficiency	0	Browse
Tests on an Induction Motor	0	Browse
Starting of Induction Motor	0	Browse
Speed Control	0	Browse
Stability of Induction Motor	0	Browse
Singe Phase Induction Motor	0	Browse
Stepper Motor	0	Browse
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Special Machines

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Power Electronics

237

Power Semiconductor Devices

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Chopper

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Buck Converter	0	Browse
Boost Converter	0	Browse
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Inverter

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AC and DC Drives

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Power Systems

344

Power System Generation

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Transmission and Distribution

139

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Power and ABCD Parameters	0	Browse
Voltage and Frequency Control	0	Browse
Power Factor Correction	0	Browse
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Corona	0	Browse
Distribution Systems	0	Browse
HVDC	0	Browse
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Load Flow Analysis

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EMFT EE

107

Electrostatics

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Measurement

158

Error Analysis

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Wattmeter	0	Browse
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Measurement of R,L and C

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CRO

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Differential Calculus	0	Browse
Integral Calculus	0	Browse
Vector Calculus	0	Browse
Topic-wide	62	Browse

Differential Equations

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First Order Differential Equations	0	Browse
Higher Order Differential Equations	0	Browse
Topic-wide	18	Browse

Complex Functions

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Analytic Functions (Cauchy Riemann Equations) and compex numbers	1	Browse
Complex Integral	0	Browse
Topic-wide	23	Browse

Probability and Statistics

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Probability	0	Browse
Statistics	0	Browse
Random Variable	0	Browse
Topic-wide	32	Browse

Numerical Methods

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Solution of Non-Linear Equation	0	Browse
Numerical Integration	0	Browse
Numerical Solution of Differential Equations	0	Browse
Topic-wide	14	Browse

Transform Theory

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Laplace Transform	0	Browse
Fourier Transform	0	Browse
Z-Transform	0	Browse
Topic-wide	5	Browse

General Aptitude

211

Numerical Ability

116

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Analytical Reasoning	0	Browse
Logical Reasoning	0	Browse
Progressions	0	Browse
Numbers	0	Browse
Clocks and Time Sequence	0	Browse
LCM and HCF, Factors and Remainders	0	Browse
Simple and Compound Interest	0	Browse
Venn Diagrams	0	Browse
Direction Sense	0	Browse
Arithmetic Reasoning	0	Browse
Insert Missing Character	0	Browse
Ratio and Proportion	0	Browse
Percentage, Profit, Loss and Partnerships	0	Browse
Stocks and Shares	0	Browse
Average, Mixtures and Allegations	0	Browse
Geometry and Mensuration	0	Browse
Ages	0	Browse
Time and Work	0	Browse
Pipes and Cisterns	0	Browse
Time and Distance	0	Browse
Data Interpretation	0	Browse
Analytical Figures	0	Browse
Blood Relations	0	Browse
Coding and Decoding	0	Browse
Cube and Dice	0	Browse
Ranking	0	Browse
Speed and Relative Speed	0	Browse
Logarithms	0	Browse
Involution and Evolution	0	Browse
Probability	0	Browse
Permutation and Combinations	0	Browse
Quadratic Equations	0	Browse
Miscellaneous - Numerical Ability	0	Browse
Topic-wide	116	Browse

Verbal Ability

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Grammar	0	Browse
Spotting Errors	0	Browse
Objective Comprehension	0	Browse
Sentence Completion	0	Browse
Sentence Improvement	0	Browse
Analogy	0	Browse
Ordering of Sentences	0	Browse
Vocabulary	0	Browse
Critical Reasoning	0	Browse
Miscellaneous - Verbal Ability	0	Browse
Topic-wide	95	Browse