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Binomial Theorem question

2022 · 27 Jul · Shift 2 · Q35

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JEE Main
Mathematics
Binomial Theorem
2022 · 27 Jul · Shift 2 · Q35

Binomial Theorem question

2022 · 27 Jul · Shift 2 · Q35

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let for the

9^{\text {th }}

term in the binomial expansion of

(3+6 x)^{\mathrm{n}}

, in the increasing powers of

6 x

, to be the greatest for

x=\frac{3}{2}

, the least value of

\mathrm{n}

is

\mathrm{n}_{0}

. If

\mathrm{k}

is the ratio of the coefficient of

x^{6}

to the coefficient of

x^{3}

, then

\mathrm{k}+\mathrm{n}_{0}

is equal to :

Numerical answer

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