Test: Enginering Mathematics - 1 | 15 Questions MCQ Test

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This mock test of Test: Enginering Mathematics - 1 for Electronics and Communication Engineering (ECE) helps you for every Electronics and Communication Engineering (ECE) entrance exam. This contains 15 Multiple Choice Questions for Electronics and Communication Engineering (ECE) Test: Enginering Mathematics - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Enginering Mathematics - 1 quiz give you a good mix of easy questions and tough questions. Electronics and Communication Engineering (ECE) students definitely take this Test: Enginering Mathematics - 1 exercise for a better result in the exam. You can find other Test: Enginering Mathematics - 1 extra questions, long questions & short questions for Electronics and Communication Engineering (ECE) on EduRev as well by searching above.

QUESTION: 1

A.
3π/12
B.
3π/16
C.
3π/8
D.
3π/2

Solution:

QUESTION: 2

Solution:

QUESTION: 3

The order of differential equation

A.
Order = 2, Degree = not defined
B.
Order = 2, Degree = 1
C.
Order = not defined, Degree =2
D.
Order = 2, Degree = 2

Solution:

QUESTION: 4

The order of differential equation

A.
1
B.
2
C.
3
D.
we can’t find

Solution:

QUESTION: 5

Find the rank of matrix

A.
4
B.
3
C.
2
D.
None of these

Solution:

QUESTION: 6

The rank of Diag matrix [− 1 0 1 0 0 4] is ________

A.
3
B.
4
C.
5
D.
78

Solution:

QUESTION: 7

the third row of R^-1 is

A.
[4 − 3 1]
B.
[1 1 1]
C.
[− 4 3 − 1]
D.
[− 1 1 − 1]

Solution:

QUESTION: 8

For what value of k will the matrix given below become singular

is ___________

A.
1
B.
0
C.
5
D.
6

Solution:

Correct Answer :- B

Explanation:- If the matrix is singular, its determinant has to be zero.

[8(0-12) -4(4k-24) +0(24-0)] = 0

-96 -16k +96 = 0

-16k = 0

k = 0

QUESTION: 9

The Eigen values of the matrix

A.
1, 1, 2
B.
1, 2, 2
C.
1, 2, 3
D.
None of these

Solution:

QUESTION: 10

A.
π/8
B.
π/64
C.
0
D.
π/4

Solution:

QUESTION: 11

A.
3
B.
2
C.
4
D.
Limit does not exist

Solution:

QUESTION: 12

then find

A.
√3
B.
1 / 3
C.
3
D.
None of these

Solution:

QUESTION: 13

Given system of linear equations

3x + 2y + z = 0, x + 4y + z = 0, 2x + y + 4z = 0, has

A.
no solution
B.
only trivial solution
C.
Infinite solution
D.
None of these

Solution:

QUESTION: 14

Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A|B) is: