For two positive real numbers a and b such that …, then minimum value of the constant term in the expansion of … is :

Option C. Given, Binomial expansion,

Binomial Theorem

JEE Main 2022 · 30 Jun, Morning shift · Q2938

MathematicsHard64×since 2002Q2938

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 :

JEE Main 2022 · 30 Jun, Morning shift · Q2938

MathematicsHard64×since 2002Q2938

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 :