# GATE (Graduate Aptitude Test in Engineering) Electrical Engineering: Questions 78 - 82 of 148

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## Question 78

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

### Passage

With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:

(i) 1 connected at port B draws a current of 3 A

(ii) 2.5 connected at port B draws a current of 2 A

## Question 79 (1 of 2 Based on Passage)

Appeared in Year: 2012

### Question

MCQ▾

With 10 V dc connected at port A, the current drawn by connected at port B is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 80 (2 of 2 Based on Passage)

Appeared in Year: 2012

### Question

MCQ▾

For the same network, with 6 V dc connected at port A, connected at port B draws A. If 8 V dc is connected to port A, the open circuit voltage at port B is

### Choices

Choice (4)Response

a.

8 V

b.

7 V

c.

6 V

d.

9 V

## Question 81

Appeared in Year: 2018

### Question

MCQ▾

Consider the two continuous-time signals defined below:

These signals are sampled with a sampling period of T = 0.25 seconds to obtain discrete time signals and , respectively. Which one of the following statements is true?

### Choices

Choice (4)Response

a.

The energy of is greater than the energy of .

b.

The energy of is greater than the energy of .

c.

Neither nor is a finite-energy signal.

d.

and have equal energies.

## Question 82

Appeared in Year: 2013

### Question

MCQ▾

A matrix has eigenvalues – 1 and – 2. The corresponding eigenvectors are and respectively. The matrix is

### Choices

Choice (4)Response

a.

b.

c.

d.

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