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GATE 2022 : Engineering Mathematics -Complex Variables - 2

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Question 1

The value of integral where c is the circle , will be

Question 2

Given an analytic function f(z) = ϕ(x, y) + i(x, y). 
Where
ϕ(x, y) =x2+4x–y2+2y. If c is a constant, which of the following relation is true?

Question 3

The value of integral where C is the circle |z| = 1, will be_________.

Question 4

Consider the complex valued function where z is a complex variable. The value of b for which the function f(z) is analytic is

Question 5

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

Question 6

where C is circle |z| = 1.5

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Jun 24ESE & GATE EC

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Neha PathakNeha PathakMember since Jul 2020
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