GATE MA 2022 Paper 1 — page 14

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 14 of 22

Let

. Then, which of the following statements is TRUE?

Your answerChoose one option.

is not equicontinuous on

is uniformly convergent on

is equicontinuous on

is uniformly bounded and has a subsequence converging uniformly on

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Let

be the metric space with

. Let

. Then, the set

Your answerChoose one option.

closed but not compact

not closed but compact

compact

neither closed nor compact

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Let

be defined by

, where

almost everywhere. If

is the kernel of

, then the distance between the function

and

Your answerChoose one option.

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2022 · Paper 1