If the coefficient of x¹⁰ in the binomial expansion of ((x)/(5^(1/4)) + (5)/(x^(1/3)))⁶⁰ is 5^(k). l, where l, k N and l is co-prime to 5, then k is equal to _ _ _ _ _ _ _.

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

JEE Main 2022 · 27 Jun, Morning shift · Q24

JEE Main 202227 Jun, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the coefficient of x¹⁰ in the binomial expansion of

{\left( {{{\sqrt x } \over {{5^{{1 \over 4}}}}} + {{\sqrt 5 } \over {{x^{{1 \over 3}}}}}} \right)^{60}}

{5^k}\,.\,l

, where l, k

\in

N and l is co-prime to 5, then k is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Binomial Theorem and Its Simple Applications Question with Answer (27 Jun Morning shift, Q24) | JEE Arc