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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
Given z{z} is a complex number such that ∣z∣≤2|z| \leq 2, then the maximum value of ∣iz+6−8i∣|i z+6-8 i| is equal to-
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Correct option: A
12
Option A (12) is correct because the maximum value of ∣iz+6−8i∣|iz + 6 - 8i| is found using the triangle inequality, resulting in ∣iz∣+∣6−8i∣=2+10=12|iz| + |6-8i| = 2 + 10 = 12.

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