If the 1011^(th) term from the end in the binominal expansion of ((4 x)/5-5/(2 x))²⁰²² is 1024 times 1011^(th) R term from the beginning, then |x| is equal to

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 11 Apr, Evening shift · Q2942

JEE Main 202311 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the

1011^{\text {th }}

term from the end in the binominal expansion of

\left(\frac{4 x}{5}-\frac{5}{2 x}\right)^{2022}

is 1024 times

1011^{\text {th }}

R term from the beginning, then

|x|

is equal to