The locii of a point \( \mathrm{P}(\mathrm{z}) \) in the complex pl...

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The locii of a point \( \mathrm{P}(\mathrm{z}) \) in the complex plane satisfying the \( \left|\mathrm{z}+\frac{1}{\mathrm{z}}\right|=2 \) are two circles \( \mathrm{C}_{1} \) and \( \mathrm{C}_{2} \).
PV
These circles
(A) have centres on real axis.
(B) cut each other orthogonally.
(C) are congruent
(D) have exactlv two common tangents.
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