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Binomial Theorem question

2021 · 26 Feb · Shift 1 · Q23

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2021 · 26 Feb · Shift 1 · Q23

Binomial Theorem question

2021 · 26 Feb · Shift 1 · Q23

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

The maximum value of the term independent of 't' in the expansion of

{\left( {t{x^{{1 \over 5}}} + {{{{(1 - x)}^{{1 \over {10}}}}} \over t}} \right)^{10}}

where x

\in

(0, 1) is :

A
${{10!} \over {\sqrt 3 {{(5!)}^2}}}$
B
${{2.10!} \over {3\sqrt 3 {{(5!)}^2}}}$
C
${{10!} \over {3{{(5!)}^2}}}$
D
${{2.10!} \over {3{{(5!)}^2}}}$

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