Let a complex number z, |z| ≠ 1, satisfy log 1/(2) ((|z| + 11)/((|z| - 1)²)) ≤ 2. Then, the largest value of |z| is equal to _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q3258

JEE Main 202116 Mar, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let a complex number z, |z|

\ne

1, satisfy

{\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2}}}} \right) \le 2

. Then, the largest value of |z| is equal to ____________.

JEE Main 2021 · 16 Mar, Morning shift · Q3258

JEE Main 202116 Mar, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let a complex number z, |z|

\ne

1, satisfy

{\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2}}}} \right) \le 2

. Then, the largest value of |z| is equal to ____________.