Let \( \mathrm{z}=\mathrm{x}+\mathrm{iy} \), where \( \mathrm{x}, \...

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Let \( \mathrm{z}=\mathrm{x}+\mathrm{iy} \), where \( \mathrm{x}, \mathrm{y} \in \mathrm{R} \) and \( \mathrm{i}=\sqrt{-1} \). If locus of \( \mathrm{P}(\mathrm{z}) \) satisfying \( \operatorname{Re}\left(\frac{1}{\mathrm{z}}\right)=\frac{1}{2} \)
\( \mathrm{P} \) represents a circle then maximum distance of a point on the circle from \( M(-2,4) \), is equal to

W [Note: \( \operatorname{Re}(\mathrm{z}) \) denotes the real part of \( \mathrm{z} \).]
(A) 4
(B) 5
(C) 6
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