If z is a complex number satisfying |z -3| ≤ 5 , then range of |z + 3i| is (where i = ?

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4-1.Complex numbers

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If $z$ is a complex number satisfying $|z -3| \leq 5$ , then range of $|z + 3i|$ is (where $i = \sqrt {-1}$ )

A

$\left[ {5 - 3\sqrt 2 ,\,5 + 3\sqrt 2 } \right]$

B

$\left[ {3\sqrt 2 - 5\,,\,3\sqrt 2 + 5} \right]$

C

$\left[ {0,5 + 3\sqrt 2 } \right]$

D

$\left[ {0,5 - 3\sqrt 2 } \right]$

Solution

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Standard 11

Mathematics

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