Question

If $\left|z+4\right|\le 3$, then the maximum value of $|z+1|$ is

• A. $4$
• B. $10$
• C. $6$
• D. $0$

Answer 1

Answer: (C)

From the Argand diagram maximum
value of $|z+1|$ is 6.
Alternative:
$|z+1|=|z+4-3|$
$\le |z+4|+|-3|=6.$