Electronics and Communication Engineering
GATE ECE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 426. Imported answers require independent review unless marked reviewed.
Question 11
Open questionECMCQ1 markNeeds review
Consider the differential equation
, with
. If
be the solution to the equation where
and
are unit vectors along the positive x and y axes respectively, then which of the following options is the correct matrix representing A?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 12
Open questionECMCQ1 markNeeds review
A surface is given by
and
and
are unit normal vectors to the surface at the point
. Which of the following vectors can be
, where
and
are the unit vectors along x, y and z axes, respectively?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 13
Open questionECMCQ1 markNeeds review
The Laplace Transform of the signal
is given by which of the following expressions?[“*” represents convolution operator]
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 14
Open questionECMCQ1 markNeeds review
Consider carrier transport in a Zener diode in the breakdown region. Which is the dominant transport mechanism for current flow in this case?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionECMCQ1 markNeeds review
Two analog signals
and
(t in second), are sampled at a rate
Hz, where
, and
.The first ten samples (starting from t = 0) are considered for the analysis.
Which of the following statements is TRUE?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 16
Open questionECMCQ1 markNeeds review
The response of a discrete time system
obeys the following relation:
The input to the system is
Which of the following options is TRUE for
?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 17
Open questionECMCQ1 markNeeds review
The ideal OP-AMP circuit shown in the Figure produces output voltage
when the Switch, S, is open.Which of the options represents the output voltage when S is closed?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 18
Open questionECMCQ1 markNeeds review
Consider the circuit shown in the Figure with
and
.Assume
and
for the BJT.Which of the following options is the correct value of the current
? 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 19
Open questionECMCQ1 markNeeds review
A control system is shown in the Figure.
Which option represents the correct transfer function of the system?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 20
Open questionECMCQ1 markNeeds review
In the circuit shown in the Figure, A and B are logic inputs and Y is the logic output.
Which of the following logic operations is realized by the circuit?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer