MCQ
If $\omega$ is complex cube root of unity whose imaginary part is positive $\&$ $|z -w| = |z + w|,$ then $arg(z)$ can be-
- A$\frac{\pi }{3}$
- B$\frac{5\pi }{6}$
- ✓$\frac{\pi }{6}$
- D$\frac{\pi }{4}$
✓
Answer
Correct option: C.
$\frac{\pi }{6}$
c
Locus of $z$ is perpendicular bisector of line segment joining $\omega $ and $-\omega$
Locus of $z$ is perpendicular bisector of line segment joining $\omega $ and $-\omega$
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