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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If log⁡3(∣z∣2−∣z∣+12+∣z∣){\log _{\sqrt 3 }}\left( {\frac{{{{\left| z \right|}^2} - \left| z \right| + 1}}{{2 + \left| z \right|}}} \right) <2< 2, then the locus of zz is
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Correct option: B
∣z∣<5\left| z \right| < 5
Option B (∣z∣<5\left| z \right| < 5) is correct because solving the inequality results in the condition that the modulus of zz must be less than 5.

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