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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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For any complex number zz, the minimum value of ∣z∣+∣z−1∣\left| z \right| + \left| {z - 1} \right| is
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Correct option: B
1
Option B (1) is correct because by the triangle inequality, ∣z∣+∣z−1∣≥∣z−(z−1)∣=∣1∣=1|z| + |z-1| \ge |z - (z-1)| = |1| = 1.

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