Millionaire Mode

Mechanical Engg. (GATE) 2009

Question 1 of 60

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

  1. $\frac{(x + y)^2}{2} + k$
  2. $\frac{x^2 - y^2}{2} + k$
  3. $\frac{y^2 - x^2}{2} + k$
  4. $\frac{(x - y)^2}{2} + k$

Prize Money

15₹7 Crores
14₹1 Crore
13₹50,00,000
12₹25,00,000
11₹12,50,000
10₹6,40,000
9₹3,20,000
8₹1,60,000
7₹80,000
6₹40,000
5₹20,000
4₹10,000
3₹5,000
2₹2,000
1₹1,000