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1
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
The Dirac delta function $$\delta (t)$$ is defined as
A
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
B
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise} \cr } } \right.$$
C
$$\delta (t) = \left\{ {\matrix{ {1,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
D
$$\delta (t) = \left\{ {\matrix{ {\infty ,} & {t = 0} \cr {0,} & {otherwise\,\,\,and\,\,\int\limits_{ - \infty }^\infty {\delta (t)\,dt = 1} } \cr } } \right.\,\,$$
2
GATE ECE 2006
MCQ (Single Correct Answer)
+1
-0.3
A solution for the differential equation $$\mathop x\limits^. $$(t) + 2 x (t) = $$\delta (t)$$ with intial condition $$x({0^ - }) = 0$$ is
A
$${e^{ - 2t}}\,u(t)$$
B
$${e^{2t}}\,u(t)$$
C
$${e^{ - t}}\,u(t)$$
D
$${e^t}\,u(t)$$
3
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
The function x(t) is shown in Fig. Even and odd parts of a unit-step function u(t) are respectively. GATE ECE 2005 Signals and Systems - Miscellaneous Question 19 English
A
$${1 \over 2},\,{1 \over 2}x(t)$$
B
$$-{1 \over 2},\,{1 \over 2}x(t)$$
C
$${1 \over 2},\,-{1 \over 2}x(t)$$
D
$$-{1 \over 2},\,-{1 \over 2}x(t)$$
4
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
Let $$\delta (t)$$ denote the delta function. The value of the the integral $$\int\limits_{ - \infty }^\infty {\delta (t)} \,\,\cos \left( {{{3\,\,t} \over 2}} \right)dt$$ is
A
1
B
- 1
C
0
D
$${\pi /2}$$
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GATE ECE Subjects
Network Theory
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Electronic Devices and VLSI
Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET
Analog Circuits
Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier
Digital Circuits
Logic Gates Boolean Algebra Analog to Digital and Digital to Analog Converters Sequential Circuits Combinational Circuits Logic Families Number System and Code Convertions Semiconductor Memories
Microprocessors
Instruction Set and Programming with 8085 Pin Details of 8085 and Interfacing with 8085
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Analog Communication Systems Digital Communication Systems Random Signals and Noise Fundamentals of Information Theory Noise In Digital Communication
Electromagnetics
Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
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