# Mathematical Physics-Elements of Complex Analysis [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 8 of 22

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## Question 1

Elements of Complex Analysis
Residue Theorem and Applications

Appeared in Year: 2015

### Write in Short

The value of is ________ (up to one decimal place)

## Question 2

Elements of Complex Analysis
Residue Theorem and Applications

Appeared in Year: 2014

### Question

MCQ▾

The value of the integral Where C is the circle , is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 3

Elements of Complex Analysis
Residue Theorem and Applications

Appeared in Year: 2015

### Question

MCQ▾

Consider a complex function . Which one of the following statements is correct?

### Choices

Choice (4)Response

a.

has a second order pole at

b.

has infinite number of second order poles

c.

has all simple poles

d.

has simple poles at and

## Question 4

Elements of Complex Analysis
Residue Theorem and Applications

Appeared in Year: 2014

### Question

MCQ▾

The unit vector perpendicular to the surface at the point is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 5

Elements of Complex Analysis
Cauchy-Riemann Conditions

Appeared in Year: 2014

MCQ▾

The matrix is –

### Choices

Choice (4)Response

a.

Orthogonal

b.

Anti – symmetric

c.

Unitary

d.

Symmetric

## Question 6

Elements of Complex Analysis
Cauchy-Riemann Conditions

Appeared in Year: 2014

### Question

MCQ▾

The length element of an arc is given by, . The metric tensor is –

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 7

Elements of Complex Analysis
Cauchy-Riemann Conditions

Appeared in Year: 2016

### Question

MCQ▾

Which of the following is an analytic function of everywhere in the complex plane?

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 8

Elements of Complex Analysis
Residue Theorem and Applications

Appeared in Year: 2012

### Question

MCQ▾

The value of the integral , using the contour of circle with unit radius is –

### Choices

Choice (4)Response

a.

b.

c.

d.

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