In Fig. 42, a point ' \( z \) ' is equidistant from three distinct points \( z_{1}, z_{2} \), an...
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0In Fig. 42, a point ' \( z \) ' is equidistant from three distinct points \( z_{1}, z_{2} \), and \( z_{3} \) in the Argand plane. If \( z, z_{1} \) and \( z_{2} \) are collinear, then \( \arg \left(\frac{z_{3}-z_{1}}{z_{3}-z_{2}}\right) \) will be \( \left(z_{1}, z_{2}, z_{3}\right. \) are in anticlockwise sense).
(A) \( \frac{\pi}{2} \)
(B) \( -\frac{\pi}{2} \)
(C) \( \frac{\pi}{6} \)
(D) \( \frac{2 \pi}{3} \)
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