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Mechanical Engg. (GATE) 2009

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An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) + iv (x, y) where i = $\sqrt{-1}$
If u = xy, the expression for v should be

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A
$\frac{y^2 - x^2}{2} + k$
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