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The greatest and least value of $| z |$ if z satisfies $| z - 5 + 5 i | \leq 5$ is

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$5 \sqrt{2}, - 5 \sqrt{2}$

$5 + 5 \sqrt{2}, 5 - 5 \sqrt{2}$

$5, - 5$

$5 + \sqrt{2}, 5 - \sqrt{2}$

answer is A.

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Detailed Solution

Greatest value is $5 + 5 \sqrt{2}$

Least value is $5 - 5 \sqrt{2}$

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