If $\arg (z) < 0$, then $\arg \left(\frac{z-\bar{z}}{2}\right)$ is equal to

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\arg (z) < 0

, then

\arg \left(\frac{z-\bar{z}}{2}\right)

is equal to

View answer and explanation

Correct option: C

-\frac{\pi}{2}

Option C (

-\frac{\pi}{2}

) is correct because if arg(z) < 0, then (z - conjugate(z))/2 is a purely imaginary number with a negative imaginary part, implying an argument of -

\frac{\pi}{2}

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