GATE IN Analysis of complex variables PYQs & Answers — Page 2

Home
GATE
Instrumentation Engineering
Topics
Analysis of complex variables

Questions 11–15 of 15. Imported answers require independent review unless marked reviewed.

Topic practice 15 questionsPage 2 of 2

is the series expansion of

Your answerChoose one option.

for

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

. The value of the integral

over a circle

with center

and radius

evaluated in the anti-clockwise direction is ____.

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A complex function

and its complex conjugate

are both analytic in the entire complex plane, where

and

. The function

is then given by

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

and

be two complex variable functions. Here

is the complex conjugate of z. Choose the correct answer.

Your answerChoose one option.

Both

and

are analytic

Only

is analytic

Only

is analytic

Both

and

are not analytic

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

where

. Then

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE IN Analysis of complex variables PYQs

Question 26

Question 15

Question 29

Question 2

Question 3