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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If ∣z∣<1/2|z|<1 / 2 and 4∣(1+i)z3+iz∣<k4\left|(1+i) z^3+i z\right| < k, then the least integral value of kk is
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Correct option: C
3
Option C (3) is correct because using the triangle inequality and the given condition ∣z∣<1/2|z| < 1/2, the expression is bounded by 3.

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