Electrical Engineering
GATE EE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 97. Imported answers require independent review unless marked reviewed.
Question 29
Open questionEEMSQ1 markNeeds review
Let
be a discrete random variable that is uniformly distributed over the set
. Which of the following random variables is/are uniformly distributed?Your answerSelect all correct options. You can choose more than one.
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Which of the following complex functions is/are analytic on the complex plane?
Your answerSelect all correct options. You can choose more than one.
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Consider the complex function
. The coefficient of
in the Taylor series expansion of
about the origin is ______ (rounded off to 1 decimal place).Log in to check the answer
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The sum of the eigenvalues of the matrix
is ______ (rounded off to the nearest integer).Log in to check the answer
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Open questionEEMCQ2 marksNeeds review
Consider a vector
, where
represent unit vectors along the coordinate axes
respectively. The directional derivative of the function
at the point
in the direction of
isYour answerChoose one option.
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Let
be a real-valued function whose second derivative is positive for
. Which of the following statements is/are always true?Your answerSelect all correct options. You can choose more than one.
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Consider the function
for
, where
denotes the maximum of
and
. Which of the following statements is/are true?Your answerSelect all correct options. You can choose more than one.
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Which of the following differential equations is/are nonlinear?
Your answerSelect all correct options. You can choose more than one.
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For a given vector
, the vector normal to the plane defined by
isYour answerChoose one option.
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In the figure, the vectors u and v are related as: Au = v by a transformation matrix A. The correct choice of A is
Your answerChoose one option.
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