Q. If $\left| \frac{\mathcal{z -}2}{\mathcal{z} + 2} \right| = \frac{\pi}{6}$, then the locus of $\mathcal{z}$ is
A) A straight line
B) A circle
C) A parabola
D) An ellipse
Explanation
(b)
As we know, the equation of the form $\left| \frac{\mathcal{z -}2}{\mathcal{z} + 2} \right| = n$ is a circle, if $n \neq 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.