Q. If $|z + 4| \leq 3$, then the greatest and the least value of $|z + 1|$ are respectively
A) 6, -6
B) 6, 0
C) 7, 2
D) 0, -1
Explanation
(b)
We have $|z + 4| \leq 3$
$- 3 \leq z + 4 \leq 3$
$- 6 \leq z + 1 \leq 0$
$0 \leq - (z + 1) \leq 6$
$0 \leq |z + 1| \leq 6$
Hence, greatest and least value of $|z + 1|$ are 6 and 0 respectively
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.