If z and \\omega are two complex numbers such that |z \\omega|=1 and \arg (z)-\arg (\\omega)=\frac{3 \\pi}{2} , then \arg ({1-2 \overline{z} \\omega}/{1+3 \overline{z} \\omega}) is : (Here \arg ({z}) denotes the principal argument of complex number z) [20 Jul 2021 Shift 1]

JEE Main 20 July 2021 Shift 1 Solved Paper

Section: Mathematics

Question : 67 of 90

Marks: +1, -0

If z and ω are two complex numbers such that |zω|=1 and arg(z)−arg(ω)=

3π

, then arg(

1−2zω

1+3zω

) is :
(Here arg(z) denotes the principal argument of complex number z)

[20 Jul 2021 Shift 1]

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