If \(v = \frac{{x\;-\;y}}{{{x^2}\;+\;{y^2}}}\), then analytic function f(z) = u + iv is

1
z + c
2
z-1 + c
3
\(\left( {1 - i} \right)\frac{1}{z} + c\)
4
\(\left( {1 + i} \right)\frac{1}{z} + c\)

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