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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If ∣z−3+2i∣≤4|z-3+2 i| \leq 4 then the difference between the greatest and least value of ∣z∣|z| is -
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Correct option: B
2132 \sqrt{13}
Option B (2132\sqrt{13}) is correct because the difference between the greatest and least values of ∣z∣|z| is found by using the triangle inequality on ∣(z−3+2i)+(3−2i)∣|(z-3+2i)+(3-2i)|.

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