Q. The closest distance of the origin from a curve given as $a\overline{\mathcal{z}} + \overline{a}\mathcal{z +}|a|^{2} = 0$ is
A) 1
B) $\frac{Re(|a|)}{|a|}$
C) $\frac{Im\left( |a| \right)}{|a|}$
D) $\frac{|a|}{2}$
Explanation
(d)
$d = \frac{a.0 + 0.\overline{a} + |a|^{2}}{2|a|} = \frac{|a|}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.