# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 14 - 19 of 169

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## Question 14

Engineering Mathematics

Appeared in Year: 2019

### Question

MCQ▾

The inverse Laplace transform of for is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 15

Engineering Mathematics

Appeared in Year: 2019

### Question

MCQ▾

M is a matrix with Eigen values 4 and 9. The Eigen values of are

### Choices

Choice (4)Response

a.

and

b.

4 and 9

c.

16 and 81

d.

2 and 3

## Question 16

Engineering Mathematics

Appeared in Year: 2019

### Question

MCQ▾

Consider a 2 × 2 matrix , where and are the column vectors. Suppose , where and are the row vectors. Consider the following statements:

Statement 1: and

Statement 2: and

Which of the following options is correct?

### Choices

Choice (4)Response

a.

Statement 1 is true and statement 2 is false

b.

Both the statements are false

c.

Both the statements are true

d.

Statement 2 is true and statement 1 is false

## Question 17

Engineering Mathematics

Appeared in Year: 2012

### Question

MCQ▾

The maximum value of in the interval [1,6] is

### Choices

Choice (4)Response

a.

46

b.

41

c.

25

d.

21

## Question 18

Engineering Mathematics

Appeared in Year: 2018

### Question

MCQ▾

The value of the integral in counter clockwise direction around a circle C of radius 1 with center at the point is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 19

Engineering Mathematics

Appeared in Year: 2018

### Question

MCQ▾

The value of the directional derivative of the function at the point (2, -1,1) in the direction of the vector

### Choices

Choice (4)Response

a.

0.9

b.

0.95

c.

1

d.

0.93

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