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Complex Numbers question

2021 · 16 Mar · Shift 2 · Q34

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2021 · 16 Mar · Shift 2 · Q34

Complex Numbers question

2021 · 16 Mar · Shift 2 · Q34

JEE MainMathematicsComplex NumbersMCQ+4 / −1

The least value of |z| where z is complex number which satisfies the inequality

\exp \left( {{{(|z| + 3)(|z| - 1)} \over {||z| + 1|}}{{\log }_e}2} \right) \ge {\log _{\sqrt 2 }}|5\sqrt 7 + 9i|,i = \sqrt { - 1}

, is equal to :

A
8
B
3
C
2
D
$\sqrt 5$

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