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Points on a Cartesian Plane

If the point ...

Question

If the point representing a complex number lies in the third quadrant, then the point representing its conjugate lies in the ____________.

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Solution

If z lies in III quadrant.

i.e z = – x – iy ; x, y ≥ 0

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

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

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