Question:
If the point representing a complex number lies in the third quadrant, then the point representing its conjugate lies in the ____________.
Solution:
If z lies in III quadrant.
i.e z = – x – iy ; x, y ≥ 0
$\Rightarrow \bar{z}=-\overline{x-i y}=-x+i y$
i.e $\bar{z}$ lies in II quadrant.
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