If one of the vertices of the square circumscribing the circle \( |...

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If one of the vertices of the square circumscribing the circle \( |z-1|=\sqrt{2} \) is \( 2+\sqrt{3} i \), where \( i=\sqrt{-1} \). Find the
\( \mathrm{P} \) other vertices of the square.
[IIT-JEE 2005, 4M]
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