GATE AE area:engineering-mathematics PYQs & Answers — Page 2

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Questions 11–20 of 83. Imported answers require independent review unless marked reviewed.

Topic practice 83 questionsPage 2 of 9

The eigenvalues of the matrix

are _____.

Your answerChoose one option.

0, 2

2, 3

1, 3

1, 2

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The partial differential equation

is _____.

Your answerChoose one option.

elliptic

hyperbolic

parabolic

of mixed type

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If the function

is continuous at

, the value of

is _____.

Your answerChoose one option.

2.5

3.5

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The maximum value of the function

in the domain

occurs at

(rounded off to two decimal places).

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(answer in integer).

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The equation of a closed curve in two-dimensional polar coordinates is given by

. The area enclosed by the curve is

(answer in integer).

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Consider the ordinary differential equation:

. If

, then the value of

(rounded off to the nearest integer).

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and

denote unit vectors in the

and

directions, respectively. The outward flux of the two-dimensional vector field

over the unit circle centered at the origin is

(rounded off to two decimal places).

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The following system of linear equations

has:

Your answerChoose one option.

infinitely many solutions

a unique solution

no solution

three solutions

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The acceleration of a body traveling in a straight line is given by

where

is the velocity, and

are positive constants. Starting with an initial positive velocity

, the distance traveled by the body before coming to rest for the first time is:

Your answerChoose one option.

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GATE AE area:engineering-mathematics PYQs

Question 13

Question 14

Question 15

Question 40

Question 41

Question 42

Question 43

Question 45

Question 11

Question 12