JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

z

is a complex number such that

-\pi / 2 \leq

\arg z \leq \pi / 2

, then which of the following inequality is true.

View answer and explanation

Correct option: A

|z-\bar{z}| \leq|z||\arg (z)-\arg (\bar{z})|

Option A (

|z-\bar{z}| \leq |z||\arg (z)-\arg (\bar{z})|

) is correct because it follows from the geometric interpretation of complex numbers and their arguments.

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