Let a complex number z, |z| … 1, satisfy …. Then, the largest value of |z| is equal to ____________.

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Complex Numbers

JEE Main 2021 · 16 Mar, Morning shift · Q3258

MathematicsEasy53×since 2002Q3258

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

MathematicsEasy53×since 2002Q3258

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 ____________.