GATE PI topic:calculus PYQs & Answers — Page 2

Questions 11–18 of 18. Imported answers require independent review unless marked reviewed.

Topic practice 18 questionsPage 2 of 2

The solution of

Your answerChoose one option.

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Vector triple product

of three vectors

and

is given by

Your answerChoose one option.

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A real-valued function of real variable

is such that

. At

, the function is

Your answerChoose one option.

discontinous but differentiable

both continuous and differentiable

discontinous and not differentiable

continuous but not differentiable

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The value of the surface integral

over the surface S of the sphere

, where n is the unit outward normal to the surface element dS, is _____

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Divergence of the curl of a twice differentiable continuous vector function is

Your answerChoose one option.

unity

infinity

zero

a unit vector

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For two non-zero vectors

and

, if

is perpendicular to

, then

Your answerChoose one option.

the magnitude of

is twice the magnitude of

the magnitude of

is half the magnitude of

and

cannot be orthogonal

the magnitudes of

and

are equal

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The improper integral

converges to

Your answerChoose one option.

1.0

0.5

2.0

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The local minima of the function

in the range

is located at

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GATE PI topic:calculus PYQs

Question 5

Question 1

Question 2

Question 35

Question 1

Question 2

Question 26

Question 27