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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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If z≠0z \neq 0 be a complex number such that ∣z−1z∣=2\left|z-\frac{1}{z}\right|=2, then the maximum value of ∣z∣|z| is
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Correct option: D
2+1\sqrt{2}+1
Option D (2+1\sqrt{{2}}+1) is correct because by using the triangle inequality and solving the resulting quadratic, we find the maximum value of |z|.

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