Mechanical Engineering > GATE 2016 SET-1 > Complex Variables
f(z) = u(x,y) + i v(x,y) is an analytic function of complex variable z=x+iy where i=√-1. If u(x,y) = 2xy, then v(x,y) may be expressed as
A
-x2 + y2 + constant
B
x2 - y2 + constant
C
x2 + y2 + constant
D
-(x2 + y2) + constant

Correct : a

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