Binomial Theorem and Its Simple Applications: JEE Main 2024 Mathematics question

JEE Main 2024 · 1 Feb, Evening shift · Q2888

JEE Main 20241 Feb, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let

m

and

n

be the coefficients of seventh and thirteenth terms respectively in the expansion of

\left(\frac{1}{3} x^{\frac{1}{3}}+\frac{1}{2 x^{\frac{2}{3}}}\right)^{18}

. Then

\left(\frac{\mathrm{n}}{\mathrm{m}}\right)^{\frac{1}{3}}

is :

JEE Main 2024 · 1 Feb, Evening shift · Q2888

JEE Main 20241 Feb, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let

m

and

n

be the coefficients of seventh and thirteenth terms respectively in the expansion of

\left(\frac{1}{3} x^{\frac{1}{3}}+\frac{1}{2 x^{\frac{2}{3}}}\right)^{18}

. Then

\left(\frac{\mathrm{n}}{\mathrm{m}}\right)^{\frac{1}{3}}

is :

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