Mathematics
GATE MA area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 341–350 of 403. Imported answers require independent review unless marked reviewed.
Question 2
Open questionMAMCQ1 markNeeds review
Let
be an entire function with
,
and
. If there exists
such that
for all
, then
Your answerChoose one option.
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Open questionMAMCQ1 markNeeds review
In the Laurent series expansion of
valid for
, the coefficient of
isYour answerChoose one option.
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Open questionMAMCQ1 markNeeds review
Let
and
be metric spaces, and let
be a continuous map. For any subset
of
, which one of the following statements is true?Your answerChoose one option.
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Open questionMAMCQ1 markNeeds review
In the permutation group
, the number of elements of order 8 isYour answerChoose one option.
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Open questionMAMCQ1 markNeeds review
Let
be a commutative ring with 1 (unity) which is not a field. Let
be a proper ideal such that every element of
not in
is invertible in
. Then the number of maximal ideals of
isYour answerChoose one option.
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Open questionMAMCQ1 markNeeds review
The Cauchy problem
with
, when solved using its characteristic equations with an independent variable
, is found to admit of a solution in the form
Then
Your answerChoose one option.
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Open questionMANAT1 markNeeds review
Let
, where
are real numbers and
. The geometric multiplicity of the largest eigenvalue of
equals ________.Log in to check the answer
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Open questionMANAT1 markNeeds review
Consider the subspaces
of
. Then the dimension of
equals ________.Log in to check the answer
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Open questionMANAT1 markNeeds review
Let
be the real vector space of all polynomials of degree less than or equal to 2 with real coefficients. Let
be the linear transformation given by
where
is the derivative of
. Then the number of nonzero entries in the Jordan canonical form of a matrix of
equals ________.Log in to check the answer
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Open questionMANAT1 markNeeds review
Let
,
be the set of all rational numbers in the interval
,
be the Cantor (ternary) set, and let
. Then the Lebesgue measure of the set
equals ________.Log in to check the answer
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