GATE MA 2021 Paper 1 — page 9

Questions 25–27 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 9 of 22

Let

be differentiable. Let

and

be the direction derivatives of

in the directions of the unit vectors

and

, respectively. If

and

, then

_____.

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Let

denote the boundary of the square region

with vertices

and

oriented in the counter-clockwise direction. Then

__________.

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The number of 5-Sylow subgroups in the symmetric group

of degree 5 is _____.

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2021 · Paper 1