Mathematics
2025 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.
Question 31
Open questionMANAT1 markNeeds review
Let
be the vector space (over
) consisting of all bounded real-valued solutions of the differential equation
Then, the dimension of
is _____ (in integer)Log in to check the answer
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Open questionMANAT1 markNeeds review
Let
be a vector field, and let
be the surface
,
. If
denotes the unit outward normal vector to
, then the value of
is equal to _____ (in integer)
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 33
Open questionMANAT1 markNeeds review
Consider
where
is oriented positively as a simple closed curve. Then, the value of
is equal to _____ (in integer)Log in to check the answer
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