Question

$|z-4|+|z+4|=10$, then the difference between the maximum and the minimum values of $|z|$ is

• A. $2$
• B. $3$
• C. $\sqrt{41}-5$
• D. $0$

Answer 1

The correct option is A $2$

$|z-4|+|z+4|=10$

$PA+PB=10$

Here $ma{x}^m=10$

$mi{n}^m=8$

$\therefore Difference=10-8=2$.