Multiple choice

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 (x, y) = x2 – y2, then expression for v (x, y) in terms of x, y and a general constant c would be

  1. xy + c
  2. $\frac{x^2 + y^2}{2}+c$

  3. 2xy + c
  4. $\frac{x^2 - y^2}{2}+c$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Correct option is (3).

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