# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 12 - 17 of 71

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## Question 12

Engineering Mathematics
Divergence and Curl, Gauss's, Green's and Stoke's Theorems

Appeared in Year: 2015

### Question

MCQ▾

A Vector . Which of the following statements is TRUE?

### Choices

Choice (4)Response

a.

is neither solenoidal nor irrotational

b.

is both solenoidal and irrotational

c.

is solenoidal, but not irrotational

d.

is irrotational, but not solenoidal,

## Question 13

Engineering Mathematics
Higher Order Linear Differential Equations

Appeared in Year: 2015

### Question

MCQ▾

The solution of the differential equation with is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 14

Engineering Mathematics
Maxima and Minima

Appeared in Year: 2015

### Question

MCQ▾

Which one of the following graphs describe the function

?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 15

Engineering Mathematics
Joint and Conditional Probability

Appeared in Year: 2015

### Question

MCQ▾

Suppose A and B are two independent events with probabilities and . Let and be their complements. Which one of the following statements is false?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 16

Engineering Mathematics
Solution of Linear Equations

Appeared in Year: 2015

### Question

Consider a system of linear equations:

The value of k for which the system has infinitely many solutions is …

## Question 17

Engineering Mathematics
Vectors in Plane and Space

Appeared in Year: 2016

### Question

MCQ▾

The current density in a medium is given by:

The total current and the average current density flowing through the portion of a spherical surface are given, respectively, by

### Choices

Choice (4)Response

a.

b.

c.

d.

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