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Binomial Theorem question

2024 · 1 Feb · Shift 2 · Q49

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2024 · 1 Feb · Shift 2 · Q49

Binomial Theorem question

2024 · 1 Feb · Shift 2 · Q49

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

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 :

A
$\frac{1}{9}$
B
$\frac{1}{4}$
C
$\frac{4}{9}$
D
$\frac{9}{4}$

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