Let for the 9^(th) term in the binomial expansion of (3+6 x)ⁿ, in the increasing powers of 6 x, to be the greatest for x=3/2, the least value of n is n₀. If k is the ratio of the coefficient of x⁶ to the coefficient of x³, then k+n₀ is equal to:

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

JEE Main 2022 · 27 Jul, Evening shift · Q27

JEE Main 202227 Jul, Evening shiftMathematicsHardBinomial Theorem and Its Simple Applications131× since 2002

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}

\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 :

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JEE Main 2022 Binomial Theorem and Its Simple Applications Question with Answer (27 Jul Evening shift, Q27) | JEE Arc