Instrumentation Engineering
GATE IN year:2026 PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.
Question 11
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A matrix
satisfies
where
is a
identity matrix.The set of all possible eigenvalues of matrix
is ___.Your answerChoose one option.
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Which one among the following statements is true for the function
?Your answerChoose one option.
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Consider a function
where
is a complex variable. A simple closed contour
in
-plane encloses the point
.The value of integral
______.Your answerChoose one option.
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Consider a matrix
Let
and
The number of solutions to the linear system of equations
is _____.Your answerChoose one option.
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An electric field has a potential of
V.A charge of 1 coulomb placed at
experiences a force of
The values of
are _____.Your answerChoose one option.
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The RLC filter shown below acts as a _______.
Your answerChoose one option.
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A single phase step-down transformer has a high voltage primary winding and a low voltage secondary winding. The secondary winding is connected to a load impedance
. The impedance
when referred to the primary winding is denoted by
. Which of the following conditions is true?Your answerChoose one option.
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A square wave signal of frequency 20 kHz is passed through an ideal low-pass filter with cut-off frequency of 21 kHz. The output signal is a ______.
Your answerChoose one option.
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Given
, where t is in seconds.The fundamental period of
is ____ seconds.Your answerChoose one option.
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Among the following, the differential equation(s) not represent of a linear dynamic system is/are ____.
(i)
(ii)
(iii)
Your answerChoose one option.
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