If \( P(z) \) is a variable point in argand plane such that \( \operatorname{Im}\left(\frac{-1}{....

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If \( P(z) \) is a variable point in argand plane such that
P
\( \operatorname{Im}\left(\frac{-1}{z}\right)=\frac{1}{4} \), then area bounded by locus of \( P(z) \) is
(1) \( \pi \)
(2) \( 4 \pi \)
(3) \( \frac{\pi}{2} \)
(4) \( 2 \pi \)


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