JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

z

and

w

are two non-zero complex numbers such that

\left| {zw} \right| = 1

and

\arg \left( z \right) - \arg \left( w \right) = \frac{\pi }{2}

, then

\bar{z}w

is equal to

View answer and explanation

Correct option: D

- i

Option D (

-i

) is correct because by expressing z and w in exponential form and using the given conditions,

\bar{z}w

simplifies to

-i

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