If the constant term, in binomial expansion of (2x^(r) + 1/(x²))¹⁰ is 180, then r is equal to _ _ _ _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 22 Jul, Evening shift · Q27

JEE Main 202122 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the constant term, in binomial expansion of

{\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}

is 180, then r is equal to __________________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 22 Jul, Evening shift · Q27

JEE Main 202122 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the constant term, in binomial expansion of

{\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}

is 180, then r is equal to __________________.

Your answerType your answer. Integers and decimals are accepted.