GATE PI topic:complex-analysis PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 11. Imported answers require independent review unless marked reviewed.

Topic practice 11 questionsPage 1 of 2

Which ONE of the following is the value of

where

, and

is an even positive integer.

Your answerChoose one option.

only

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Which one of the following functions is analytic, given

Your answerChoose one option.

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In the Taylor series expansion of

around

, the coefficient of the term

Your answerChoose one option.

1/3

−1/6

−1/3

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In a complex function

is the imaginary unit, and

and

are real. If

is analytic then which of the following equations is/are TRUE?

Your answerSelect all correct options. You can choose more than one.

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The power series expansion of a function is given as

for

. The values of constants b and c, respectively, are

Your answerChoose one option.

and

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with

being real and

, then

____________. [correct up to one decimal place]

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For the complex numbers

and

, the value of

Your answerChoose one option.

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For a complex number

with

, the value of

Your answerChoose one option.

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is a complex variable with

, the length of the minor axis of an ellipse defined by

is _____

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Consider the analytic function

of the complex variable

, where

. The derivative

Your answerChoose one option.

$2x+i2y

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GATE PI topic:complex-analysis PYQs

How to practice topic:complex-analysis

Question 16

Question 37

Question 11

Question 27

Question 13

Question 24

Question 3

Question 2

Question 41

Question 26