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Binomial Theorem question

2022 · 30 Jun · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2022 · 30 Jun · Shift 1 · Q27

Binomial Theorem question

2022 · 30 Jun · Shift 1 · Q27

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

For two positive real numbers a and b such that

{1 \over {{a^2}}} + {1 \over {{b^3}}} = 4

, then minimum value of the constant term in the expansion of

{\left( {a{x^{{1 \over 8}}} + b{x^{ - {1 \over {12}}}}} \right)^{10}}

is :

A
${{105} \over 2}$
B
${{105} \over 4}$
C
${{105} \over 8}$
D
${{105} \over 16}$

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