Electronics and Communication Engineering
GATE ECE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 151–160 of 426. Imported answers require independent review unless marked reviewed.
Question 37
Open questionECMCQ2 marksNeeds review
The value of the line integral
along the straight line joining the points
and
isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let
be an
real column vector with length
. The trace of the matrix
isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The
of the circuit shown below is 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 40
Open questionECMCQ2 marksNeeds review
In the circuit shown below, D₁ and D₂ are silicon diodes with cut-in voltage of 0.7 V.
and
are input and output voltages in volts. The transfer characteristic is 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
A closed loop system is shown in the figure where
and
. The steady state error due to a ramp input (
) is given by 
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Open questionECMCQ2 marksNeeds review
In the following block diagram,
and
are two inputs. The output
is expressed as
.
and
are given by 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionECMCQ2 marksNeeds review
The state equation of a second order system is
,
is the initial condition. Suppose
and
are two distinct eigenvalues of
and
and
are the corresponding eigenvectors. For constants
and
, the solution,
, of the state equation isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The switch
was closed and
was open for a long time. At
, switch
is opened and
is closed, simultaneously. The value of
, in amperes, is 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let a frequency modulated (FM) signal
, where
is a message signal of bandwidth
. It is passed through a non-linear system with output
. Let
denote the FM bandwidth. The minimum value of
required to recover
from
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionECMCQ2 marksNeeds review
The
-parameters of a two port network are shown below. The condition for the maximum small signal voltage gain
is 
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