JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

z

and

w

are two non zero complex numbers such that

|z|=|w|

and

\operatorname{Arg} \mathrm{z}+\operatorname{Arg} \mathrm{w}=\pi

then

\mathrm{z}

equals

View answer and explanation

Correct option: B

-\bar{\omega}

Option B (

-\bar{\omega}

) is the correct answer because given the conditions

|z|=|w|

and

\operatorname{Arg} z + \operatorname{Arg} w = \pi

, z can be expressed as

-\bar{\omega}

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