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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If z−1z+1\frac{{z - 1}}{{z + 1}} is purely imaginary number (z≠−1)\left( {z \ne - 1} \right) , then ∣z∣\left| z \right| is equal to
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Correct option: A
1
Option A (1) is correct because if (z-1)/(z+1) is purely imaginary, then its conjugate is its negative, leading to |z| = 1.

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