engineering recuitment AAI JE Technical Mock Test 2020-21 Engineering Mathematics Complex Variables Analytic Functions
f(z) = u(x, y) + iv(x, y) is an analytic function of complex variable z = x + iy. If v = xy then u(x, y) equals
1
x2 + y2
2
x2 – y2
3
\(\frac{1}{2}\left( {{x^2} + {y^2}} \right)\)
4
\(\frac{1}{2}\left( {{x^2} - {y^2}} \right)\)