GATE XE 2020 Paper 1 — page 5

Questions 13–15 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 5 of 59

Let

be the solution of the initial value problem

If the plane curve parameterized by

having

-coordinate

and

-coordinate

is closed, then necessarily

Your answerChoose one option.

is a non-zero rational number.

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Let

be a complex number. Then the series

Your answerChoose one option.

converges for all

converges for

and diverges for

converges for

and diverges for any

converges for

and diverges for

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Let

be a vector field whose curl is zero. Then necessarily

Your answerChoose one option.

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2020 · Paper 1