Electrical Engineering
GATE EE topic:complex-analysis PYQs
Build your understanding with focused practice from past exam papers.
How to practice topic:complex-analysis
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 14. Imported answers require independent review unless marked reviewed.
Question 62
Open questionEENAT2 marksNeeds review
The magnitude of the contour integral
over the contour C: |z − 2 − i| = 3/2 is _____ (Round off to two decimal places)
Note: z is a complex variable and i = √−1
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Open questionEENAT2 marksNeeds review
Let C be a clockwise oriented closed curve in the complex plane defined by
. Further, let
be a complex function, where
. Then,
__________ (round off to the nearest integer).Log in to check the answer
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Open questionEEMSQ1 markNeeds review
Which of the following complex functions is/are analytic on the complex plane?
Your answerSelect all correct options. You can choose more than one.
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Open questionEENAT1 markNeeds review
Consider the complex function
. The coefficient of
in the Taylor series expansion of
about the origin is ______ (rounded off to 1 decimal place).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionEEMCQ1 markNeeds review
Let
, where
is a complex number. Which one of the following is true?Your answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
Let
,
,
and
be the vertices of a rectangle
in the complex plane. Assuming that
is traversed in counter-clockwise direction, the value of the contour integral
isYour answerChoose one option.
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Open questionEEMCQ1 markNeeds review
The value of the following complex integral, with C representing the unit circle centered at origin in the counterclockwise sense, is:
Your answerChoose one option.
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Open questionEEMCQ1 markNeeds review
Which one of the following functions is analytic in the region
?Your answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
The closed loop line integral
evaluated counter-clockwise, isYour answerChoose one option.
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Open questionEEMCQ1 markNeeds review
The value of the integral
in counter clockwise direction around a circle C of radius 1 with center at the point
isYour answerChoose one option.
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