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GATE 2024 Engg. Mathematics Quiz 6

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Question 1

If z is complex variable, the value of  is

Question 2

Which of the following equation is incorrect?

Question 3

Given F(z) = u + iv is an analytic function. If u(x, y) = 2x(1 – y), then V(x, y) = __________.

Question 4

Consider the line integral , where . Then, close counter C is shown in the figure.

The value of I is

Question 5

If f(z) = u + iv is an analytic function. If u (x, y) = 2(x – y ) then v (x, y) will be
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May 4ESE & GATE EC