GATE CE Calculus PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 43. Imported answers require independent review unless marked reviewed.

Topic practice 43 questionsPage 1 of 5

At how many points will the curves

and

intersect in the real

plane?

Your answerChoose one option.

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Let

be a continuous function defined in

and satisfying the equation

The value of

Your answerChoose one option.

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Let

where p is a constant. The value of

Your answerChoose one option.

independent of p

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Vector field

is defined as

. The curl of

at point

Your answerChoose one option.

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Integration of

with x i.e.,

______.

Your answerChoose one option.

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Consider a velocity vector,

in (x, y, z) coordinates given below. Pick one or more CORRECT statement(s) from the choices given below.

Your answerSelect all correct options. You can choose more than one.

z-component of Curl of velocity;

Divergence of velocity;

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The value of

is equal to

Your answerChoose one option.

-1

-0.5

-2

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Consider the function given below and pick one or more CORRECT state(s) from the following choices.

Your answerSelect all correct options. You can choose more than one.

f(x) has a local minimum at x = 3.

f(x) has a local maximum at x = 3.

f(x) has a local minimum at x = 2.

f(x) has a local maximum at x = 2.

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The maximum value of the function

in the interval [-1,5] is equal to ____________________ (rounded off to 1 decimal place).

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The function

has

Your answerChoose one option.

Maxima point

Minima point

Saddle point

Inflection point

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GATE CE Calculus PYQs

How to practice Calculus

Question 3

Question 36

Question 36

Question 37

Question 12

Question 21

Question 36

Question 44

Question 48

Question 14