Q37 of 66 Page 91

If z = x + iy lies in the third quadrant, the also lies in the third quadrant if

Since z = x + iy lies in the third quadrant, we get


X < 0 and y < 0


Now





Since also lies in third quadrant, we get



⇒ x2 – y2 < 0 and -2xy < 0


⇒ x2 < y2 and xy > 0


But x, y < 0


∴ y < x < 0

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