Mathematics
2020 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.
Question 30
Open questionMAMCQ2 marksNeeds review
Let
denote the power set of
, equipped with the metric
, where
and
denote the characteristic functions of the subsets
and
, respectively, of
. The set
in the metric space
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 31
Open questionMAMCQ2 marksNeeds review
Let
be defined by
, where
is the characteristic function of the interval
. For
, let
. ThenYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 32
Open questionMAMCQ2 marksNeeds review
For
, let
be functions defined by
and
. ThenYour answerChoose one option.
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