Mathematics
2023 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2023 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 portion of the plane
which lies inside the cylinder
. If the surface area of
is
, then the value of
is equal to __________.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 32
Open questionMANAT1 markNeeds review
Let
and the norm
for
. Let
be defined by
If
denotes the norm of the linear functional
, then
is equal to _________.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
Let
be the solution of the initial value problem
If
, then the value of
is ______ (rounded off to 2 decimal places).Log in to check the answer
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