Mechanical Engineering
GATE ME concept:analytic-functions PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:analytic-functions
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 1–4 of 4. Imported answers require independent review unless marked reviewed.
Question 13
Open questionMEMCQ1 markNeeds review
Let
be an analytic function, where
. If the real part of
is
, and the imaginary part of
is zero for
, then
isYour answerChoose one option.
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Open questionMENAT2 marksNeeds review
An analytic function of a complex variable z = x + iy (i = √−1) is defined as
where ψ(x,y) is a real function. The value of the imaginary part of f(z) at z = (1 + i) is ______ (round off to 2 decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 4
Open questionMEMCQ1 markNeeds review
An analytic function
of complex variable
may be written as
. Then,
and
must satisfyYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 29
Open questionME-2MCQ2 marksNeeds review
If
is a complex analytic function of
, where
, thenYour answerChoose one option.
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