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Welcome to the Engineering Mathematics MCQs Page

Dive deep into the fascinating world of Engineering Mathematics with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Engineering Mathematics, a crucial aspect of GATE CSE Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Engineering Mathematics, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within GATE CSE Exam.

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Check out the MCQs below to embark on an enriching journey through Engineering Mathematics. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of GATE CSE Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Engineering Mathematics. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Engineering Mathematics MCQs | Page 18 of 23

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Q171.
The value of the dot product of the eigenvectors corresponding to any pair of different eigenvalues of a 4-by-4 symmetric positive definite matrix is _____________________.

a.

0

b.

1

c.

-1

d.

2

Discuss
Answer: (a).0
Q172.
Consider the below statements :

a.

I only

b.

II only

c.

Both I and II

d.

Neither I nor II

Discuss
Answer: (c).Both I and II
Q173.
A non-zero polynomial f(x) of degree 3 has roots at x = 1, x = 2 and x = 3. Which one of the following must be TRUE?

a.

f(0)f(4) < 0

b.

f(0)f(4) > 0

c.

f(0) + f(4) < 0

d.

f(0) + f(4) > 0

Discuss
Answer: (a).f(0)f(4) < 0
Q174.
In the Newton-Raphson method, an initial guess of x0 = 2 is made and the sequence x0, x1, x2 … is obtained for the function

0.75x^3 – 2x^2 – 2x + 4 = 0

Consider the statements
(I) x3 = 0.
(II) The method converges to a solution in a finite number of iterations.

Which of the following is TRUE?

a.

Only I

b.

Only II

c.

Both I and II

d.

Neither I nor II

Discuss
Answer: (a).Only I
Q175.
Consider the following statement :

a.

2

b.

3

c.

4

d.

5

Discuss
Answer: (c).4
Q176.
Consider the following statement:

a.

I Only

b.

II Only

c.

Both I and II

d.

Neither I or II

Discuss
Answer: (c).Both I and II
Q177.
Consider the following statement:

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (a).A
Q178.
Consider the following:

a.

∞

b.

0

c.

1

d.

Not Defined

Discuss
Answer: (c).1
Q179.
Consider the below statements:

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (a).A
Q180.
Consider the below statement:

a.

0.99

b.

1

c.

99

d.

0.9

Discuss
Answer: (a).0.99
Page 18 of 23

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