If z and ω are complex numbers such that... | Complex Numbers

JEE MAIN 2021

20-07-2021 S1

Question

If $z$ and $\omega$ are two complex numbers such that $|z \omega|=1$ and arg $(z)-\arg (\omega) \frac{3 \pi}{2}$, then $\arg \left(\frac{1-2 \bar{z} \omega}{1+3 \bar{z} \omega}\right)$ is :

Select the correct option:

$\frac{\pi}{4}$

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

$-\frac{\pi}{4}$

$\frac{3 \pi}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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