Mechanical Engineering > GATE 2014 SET-2 > Complex Variables
An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x,y) + iv(x,y), where i = √−1. If u(x,y) = 2xy, then v(x,y) must be
A
x2 + y2 + constant
B
x2 − y2 + constant
C
−x2 + y2 + constant
D
−x2 − y2 + constant

Correct : a

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