Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Analytic Functions

An analytic function of a complex variable z = x + i y is expressed as f(z) = u(x,y) + i v(x, y), where \(i = \sqrt { - 1}\). If u(x, y) = 2xy, then v(x, y) must be

1

x² + y² constant

2

x² – y² constant

3

-x² + y² + constant

4

-x² – y² + constant

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