Section: Engineering Mathematics | Marks: 2
Let $f(x + iy) = u(x,y) + iv(x,y)$ be an analytic function defined on the complex plane satisfying $2u^2 + 3v^2 = 1$. Then
- A. $f$ is a constant
- B. $f(z) = kz$ for some nonzero real number $k$
- C. $u(x,y) = \frac{\cos(x+y)}{\sqrt{2}}$
- D. $v(x,y) = \frac{\sin(x-y)}{\sqrt{3}}$