If \( z \) satisfies the inequality \( |z-1-2 i| \leq 1 \), then wh...

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If \( z \) satisfies the inequality \( |z-1-2 i| \leq 1 \), then which of the following are true.
\( \mathrm{P} \)
(A) maximum value of \( |z|=\sqrt{5}+1 \)
(B) minimum value of \( |z|=\sqrt{5}-1 \)
(C) maximum value of \( \arg (\mathrm{z})=\pi / 2 \)
(D) minimum value of \( \arg (z)=\tan ^{-1}\left(\frac{3}{4}\right) \)
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