If left| {z + 4} right| le 3 , then maximum value of |z+1| is

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4-1.Complex numbers

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

A

$6$

B

$0$

C

$4$

D

$10$

(AIEEE-2007)

Solution

$z$ lies on or inside the circle with centre $(-4,0)$ and radius $3$ units.

Hence, the maximum distance of $z$ from $(-1,0)$ is $6$ units. See Fig.

Standard 11

Mathematics

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