# Engineering Mathematics-Complex Analysis [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 7 of 7

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## Question 1

Appeared in Year: *2019*

### Question MCQ▾

Which one of the following functions is analytic over the entire complex plane?

(Carry One Mark Each)

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 2

Appeared in Year: *2016*

### Question Numeric Answer▾

In the following integral, the contour C encloses the point and .

The value of the integral is …

Edit## Question 3

## Question 4

Appeared in Year: *2017*

### Question MCQ▾

The residues of function

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | and | |

c. | and | |

d. | and |

## Question 5

Appeared in Year: *2019*

### Question Numeric Answer▾

The value of the contour integral Evaluated over the unit circle is________. (Carry One Mark Each)

Edit## Question 6

Appeared in Year: *2015*

### Question Numeric Answer▾

If C denotes the counter clockwise unit circle, the value of the contour integral is …

Edit## Question 7

Appeared in Year: *2017*

### Question MCQ▾

An integral over a counter clock wise circle C is given by

If C is defined as , then the value of is

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |