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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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The inequality ∣z−i∣<∣z+i∣|z-i| < |z+i| represents the region
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Correct option: C
Im⁡(z)>0\operatorname{Im}(z) > 0
Option C (Im⁡(z)>0\operatorname{Im}(z) > 0) is correct because the inequality ∣z−i∣<∣z+i∣|z-i| < |z+i| represents the set of all points in the complex plane that are closer to ii than to −i-i, which is the upper half-plane.

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