JEE Math Practice Question

If z and $$\omega$$ are two complex numbers such that $$\left| {z\omega } \right| = 1$$ and $$\arg (z) - \arg (\omega ) = {{3\pi } \over 2}$$, then $$\arg \left( {{{1 - 2\overline z \omega } \over {1 + 3\overline z \omega }}} \right)$$ is : (Here arg(z) denotes the principal argument of complex number z)

1. A.$${\pi \over 4}$$
2. B.$$ - {{3\pi } \over 4}$$
3. C.$$ - {\pi \over 4}$$
4. D.$${{3\pi } \over 4}$$