Q. If $\mathcal{z}\overline{\mathcal{z}} = 0$, iff
A) Re ($\mathcal{z}) = 0$
B) Im ($\mathcal{z}) = 0$
C) $\mathcal{z} = 0$
D) None of these
Explanation
(c)
$\mathcal{z}\overline{\mathcal{z}} = \left| \mathcal{z} \right|^{2} = 0$ (given)
$\Rightarrow \left| \mathcal{z} \right| = 0\ \Rightarrow \ \mathcal{z} = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.