The number of positive integers k such that the constant term in the binomial expansion of (2x³ + 3/(x^(k)))¹², x ≠ 0 is 2⁸. l, where l is an odd integer, is _ _ _ _ _ _ _.

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

JEE Main 2022 · 28 Jun, Morning shift · Q31

JEE Main 202228 Jun, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The number of positive integers k such that the constant term in the binomial expansion of

{\left( {2{x^3} + {3 \over {{x^k}}}} \right)^{12}}

, x

\ne

0 is 2⁸ . l, where l is an odd integer, is ______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Binomial Theorem and Its Simple Applications Question with Answer (28 Jun Morning shift, Q31) | JEE Arc

JEE Main 2022 · 28 Jun, Morning shift · Q31

JEE Main 202228 Jun, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

The number of positive integers k such that the constant term in the binomial expansion of

{\left( {2{x^3} + {3 \over {{x^k}}}} \right)^{12}}

, x

\ne

0 is 2⁸ . l, where l is an odd integer, is ______________.

Your answerType your answer. Integers and decimals are accepted.