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GATE 2019: Engineering Mathematics Test 6
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Question 1
If
Where, C: circle , then the value of is
Where, C: circle , then the value of is
Question 2
A point z has been plotted in the complex plane, as shown in figure below.
The plot of the complex number is
The plot of the complex number is
Question 3
Let be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements is NOT TRUE?
Question 4
In the following integral, the contour C enclose the points 2πj and -2πj
The value of the integral is ______
The value of the integral is ______
Question 5
The value of contour integral dz over lzl = 1 is
Question 6
Given. If C is a counterclockwise path in the z-plane such that |z + 1| = 1, the value of is
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Jun 21ESE & GATE EE