Mechanical Engineering
2024 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 13–15 of 65. Imported answers require review unless explicitly marked reviewed.
Question 13
Open questionMEMCQ1 markNeeds review
Let
be an analytic function, where
. If the real part of
is
, and the imaginary part of
is zero for
, then
isYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Consider the system of linear equations
The values of
and
such that there exists a non-trivial null space and the system admits infinite solutions areYour answerChoose one option.
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Open questionMEMCQ1 markNeeds review
Let
be a twice differentiable function from
. If
where
is sufficiently small (here
is the Euclidean norm or distance function), then
where
is a point on the line segment joining
and
. If
is a strict local minimum of
, then which one of the following statements is TRUE?Your answerChoose one option.
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