Q. For any complex number $z$, the minimum value of $|z| + |z - 1|$ is
A) 0
B) 1
C) 2
D) -1
Explanation
(b)
Since, $| - z| = |z|$
And $\left| z_{1} + z_{2} \right| \leq \left| z_{1} \right| + \left| z_{2} \right|$
Now, $|z| + |z - 1| = |z| + |1 - z| \geq \left| z + (1 - z) \right| = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.