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If $-\overline{z}$ lies in the third quadrant then $z$ lies in the

\[\begin{array}{1 1}(1)first\; quadrant&(2)second\;quadrant\\(3)third\;quadrant&(4)fourth\;quadrant\end{array}\]

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Given $-\bar {z} $ lies i the third quadrant
$\therefore - \bar{z}=-x -iy$
$-\bar {z} =x+iy$
$\bar {\bar{z}}= \overline {x+iy}$
$z= x-iy$
z lies i the fourth quadrant
Hence 4 is the correct answer.
answered May 14, 2014 by meena.p
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