4-1.Complex numbers
normal

If $\left| {z - 3 - 4i} \right| = 4$ , where $i = \sqrt { - 1} $ , then maximum possible value of $|z|$ is

A

$9$

B

$7$

C

$5$

D

$6$

Solution

$|z-3-4 i|=4$

$||z|-5| \leq 4$

$|z| \leq 9$

Standard 11
Mathematics

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