Q. If $z_{1},\ z_{2}$ are any two complex numbers, then
A) $\left| z_{1} + z_{2} \right| \geq \left| z_{1} \right| + |z_{2}|$
B) $\left| z_{1} + z_{2} \right| > \left| z_{1} \right| + |z_{2}|$
C) $\left| z_{1} + z_{2} \right| \leq \left| z_{1} \right| + |z_{2}|$
D) $\left| z_{1} + z_{2} \right| = \left| z_{1} \right| + |z_{2}|$
Explanation
(c)
If $z_{1},\ z_{2}$ are complex numbers, then
$\left| z_{1} + z_{2} \right| \leq \left| z_{1} \right| + |z_{2}|$ [by triangle inequality]
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.