Complex Numbers And Quadratic Equations question 103

If $ 0<\arg\text{ (z)}<\pi \text{,} $ then $\arg (z) $ - $\arg (-z)= $

Options:

0

B) $ 2, \text{amp}(z) $

C) $ \pi $

D) $ -\pi $

Show Answer

Answer:

Correct Answer: C

Solution:

amp(z) $ -amp(-z)={{\tan }^{-1}}\frac{y}{x}-( {{\tan }^{-3}}\frac{y}{x}-\pi )=\pi $



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