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A point z movies on the curve $| z - 4 - 3 i | = 2$ is an argand plane. the maximum and minimum values of $|z|$ are

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2,1

6,5

4,3

7,3

answer is D.

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Detailed Solution

$| z - 4 - 3 i | = 2$ represents a circle with centre (4,3) and radius 2 then
$\begin{aligned} | z |_{min} = 5 - 2 \Rightarrow 3 \\ | z |_{max} = 5 + 2 \Rightarrow 7 \end{aligned}$

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