Question

Let \(z\) be a complex number such that the principal value of argument, \(\arg z>0\). Then \(\arg z-\arg (-z)\) is
(A) \(\frac{\pi}{2}\)
(B) \(\pm \pi\)
(C) \(\pi\)
(D) \(-\pi\)

Answer 1

Ans: (C)
Hint : \(\arg (z)-\arg (-z)=\arg \left(\frac{z}{-z}\right)=\arg (-1)=\pi\)

Answer 2

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Answer 3

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