WBJEE · Maths · Complex Number
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 & Solution
Correct Answer
(C) \(\pi\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \therefore \arg (z)-\arg (-z) &=\theta-(-\pi+\theta) \\ &=\pi \end{aligned}\)
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