Electronics and Communication Engineering
GATE ECE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 191–200 of 426. Imported answers require independent review unless marked reviewed.
Question 37
Open questionECMCQ2 marksNeeds review
Let
be two non-zero real numbers and
be two non-zero real vectors of size
. Suppose that
and
satisfy
,
, and
. Let
be the
matrix given by:
The eigenvalues of
are ________.Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
For the circuit shown, the locus of the impedance
is plotted as
increases from zero to infinity. The values of
and
are: 
Your 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 39
Open questionECMCQ2 marksNeeds review
Consider the circuit shown in the figure with input
in volts. The sinusoidal steady state current
flowing through the circuit is shown graphically (where
is in seconds). The circuit element
can be ______. 
Your 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 40
Open questionECMCQ2 marksNeeds review
Consider an ideal long channel nMOSFET (enhancement-mode) with gate length 10 μm and width 100 μm. The product of electron mobility (
) and oxide capacitance per unit area (
) is
mA/V
. The threshold voltage of the transistor is 1 V. For a gate-to-source voltage
V and drain-to-source voltage
V (substrate connected to the source), the maximum value of the drain-to-source current is ______.Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
For the following circuit with an ideal OPAMP, the difference between the maximum and the minimum values of the capacitor voltage (
) is ________. 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
A circuit with an ideal OPAMP is shown. The Bode plot for the magnitude (in dB) of the gain transfer function (
) of the circuit is also provided (here,
is the angular frequency in rad/s). The values of
and
are ____________. 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
For the circuit shown, the clock frequency is
and the duty cycle is 25%. For the signal at the Q output of the Flip-Flop, __________. 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Consider an even polynomial
given by
where
is an unknown real parameter. The complete range of
for which
has all its roots on the imaginary axis is ________.Your 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 1
Open questionGAMCQ1 markNeeds review
The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
and
are positive integers and
, then,
Your answerChoose one option.
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