Instrumentation Engineering
GATE IN area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 73. Imported answers require independent review unless marked reviewed.
Question 23
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What is
, where
?Your answerChoose one option.
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Let
, where
denotes a complex number and
denotes
. The inverse function
maps the real axis to the________.Your answerChoose one option.
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Consider the real-valued function
, where
. The minimum value attained by
is ______ (rounded off to one decimal place).Log in to check the answer
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The rank of the matrix
given below is one. The ratio
is ______ (rounded off to the nearest integer).
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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 13
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A periodic function
, with period 2, is defined as
The Fourier series of this function contains ______Your answerChoose one option.
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Given
, which of the following statement(s) is/are correct?Your answerSelect all correct options. You can choose more than one.
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The global minimum of
for
occurs at
______ (round off to one decimal place)Log in to check the answer
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The Newton-Raphson method is applied to determine the solution of
where
. If the initial guess of the solution is
, the value of the next approximation
is ________ (round off to two decimal places)Log in to check the answer
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Consider the differential equation
If
, then
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 49
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The matrix
has eigenvalues
and 7. The eigenvector(s) is/are ______Your answerSelect all correct options. You can choose more than one.
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