EC > GATE 2015 SET-1 > Engineering Mathematics - Complex Variables
Let z = x + iy 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?
A
The residue of z/(z2-1) at z=1 is 1/2
B
∮ z2 dz = 0
C
(1/(2πi)) ∮ (1/z) dz = 1
D
z* (complex conjugate of z) is an analytical function

Correct : d

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complex analysis GATE 2015 residue theorem contour integration unit circle complex variable GATE EC 2015 complex integration complex function GATE complex conjugate analytical

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