GATE EE Calculus PYQs & Answers — Page 2

Questions 11–20 of 31. Imported answers require independent review unless marked reviewed.

Topic practice 31 questionsPage 2 of 4

Let

. The direction in which the function

increases most rapidly at point

Your answerChoose one option.

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Let

be a region in the first quadrant of the

plane enclosed by a closed curve

considered in counter-clockwise direction. Which of the following expressions does not represent the area of the region

Diagram for Electrical Engineering question 51

Your answerChoose one option.

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Let

. The value of

, where

is the volume enclosed by the unit cube defined by

, is

Your answerChoose one option.

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Let

be a real-valued function such that

for some

, and

for all

. Then

has

Your answerChoose one option.

no local minimum in

one local maximum in

exactly one local minimum in

two distinct local minima in

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Suppose the circles

and

intersect each other orthogonally at the point

. Then

________.

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In the open interval

, the polynomial

has

Your answerChoose one option.

two real roots

one real root

three real roots

no real roots

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Which of the following is true for all possible non-zero choices of integers

, or all possible non-zero choices of real numbers

, as applicable?

Your answerChoose one option.

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For real numbers,

and

, with

, the maximum and minimum value of

for

are respectively, ________.

Your answerChoose one option.

7 and 1/4.

7 and 1.

−2 and −1/2.

1 and 1/4.

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Let

and

be unit vectors along x and y directions, respectively. A vector function is given by

The line integral of the above function

along the curve

, which follows the parabola

as shown below is ______ (rounded off to 2 decimal places).

Diagram for Electrical Engineering question 44

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, the value of line integral

evaluated over contour

formed by the segments

is _________.

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GATE EE Calculus PYQs

Question 50

Question 51

Question 52

Question 3

Question 13

Question 26

Question 2

Question 26

Question 44

Question 18