# Engineering Mathematics-Vector Analysis [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 4 of 8

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## Question 1

Appeared in Year: 2019

### Question MCQ▾

Consider the line integral

The integral being taken in a counterclockwise direction over the closed curve C that forms the boundary of the region shown in the figure below. The region R is the area enclosed by the union of a rectangle and a semi-circle of radius . The line integral evaluates to

### Choices

Choice (4)Response

a.

b.

c.

d.

Edit

## Question 2

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,

Edit

## Question 3

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.

Edit

## Question 4

Appeared in Year: 2016