Mathematics · 2021
JEE Main · 16 March 2021, Shift 1 · Q80
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 \ \ \ \.
Let a complex number $\displaystyle z,|z| \neq 1$, satisfy $\displaystyle \log _{\frac{1}{\sqrt{2}}}\left(\frac{|z|+11}{(|z|-1)^2}\right) \leq 2$. Then, the largest value of $\displaystyle |z|$ is equal to \_\_\_\_.
Official answer
(3)
$\displaystyle 7$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.