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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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If z=x+iyz=x+i y lies in III quadrant, then zˉz\frac{\bar{z}}{z} also lies in III quadrant, if
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Correct option: C
y<x<0y < x < 0
Option C (y<x<0y < x < 0) is correct because for zˉz\frac{{\bar{{z}}}}{{z}} to lie in the third quadrant, both its real and imaginary parts must be negative, leading to the condition y<x<0y < x < 0.

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