For two positive real numbers a and b such that 1/(a²) + 1/(b³) = 4, then minimum value of the constant term in the expansion of (a x^(1/8) + b x^(- 1/12))¹⁰ is:

Binomial Theorem and Its Simple Applications: JEE Main 2022 Mathematics question

JEE Main 2022 · 30 Jun, Morning shift · Q2938

JEE Main 202230 Jun, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

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

JEE Main 202230 Jun, Morning shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

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 :