MathematicsMedium53×since 2002Q3213If z and ω\omegaω are two complex numbers such that ∣zω∣=1\left| {z\omega } \right| = 1∣zω∣=1 and arg(z)−arg(ω)=3π2\arg (z) - \arg (\omega ) = {{3\pi } \over 2}arg(z)−arg(ω)=23π, then arg(1−2z‾ω1+3z‾ω)\arg \left( {{{1 - 2\overline z \omega } \over {1 + 3\overline z \omega }}} \right)arg(1+3zω1−2zω) is : (Here arg(z) denotes the principal argument of complex number z)Aπ4{\pi \over 4}4πB−3π4- {{3\pi } \over 4}−43πC−π4- {\pi \over 4}−4πD3π4{{3\pi } \over 4}43πCheck answerSkip