Let \( z=x+i y \) be a complex number, where \( x \) and \( y \) ar...

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Let \( z=x+i y \) be a complex number, where \( x \) and \( y \) are integers and \( i=\sqrt{-1} \). Then, the area of the rectangle
\( \mathrm{P} \) whose vertices are the roots of the equation

W \( z \bar{z}^{3}+\bar{z} z^{3}=350 \), is
[IIT-JEE 2009, 3M]
(a) 48
(b) 32
(c) 40
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