JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

If z and

\omega

are two complex numbers such that

\left| {z\omega } \right| = 1

and

\arg \left( z \right) - \arg \left( \omega \right) = \frac{{3\pi }}{2},

then arg

\left( {\frac{{1 - 2\overline z \omega }}{{1 + 3\overline z \omega }}} \right)

is
(Here,

\arg \,\left( z \right)

denotes the principal argument of complex number z )

View answer and explanation

Correct option: B

- \frac{{3\pi }}{4}

Option B (

- \frac{{3\pi }}{{4}}

) is correct because after simplification and rationalization, the argument of the complex number is found to be

- \frac{{3\pi }}{{4}}

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