# If the point representing a complex number lies in the third quadrant,

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 = – x – iy ; x, y ≥ 0

$\Rightarrow \bar{z}=-\overline{x-i y}=-x+i y$

i.e $\bar{z}$ lies in II quadrant.