If (1-x³)¹⁰=Σ r=0 ¹⁰a r x^(r)(1-x)^(30-2r), then 9a₉/(a₁₀) is equal to _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 6 Apr, Evening shift · Q22

JEE Main 20266 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

(1-x^3)^{10}=\displaystyle\sum_{r=0}^{10}a_rx^r(1-x)^{30-2r}

, then

\dfrac{9a_9}{a_{10}}

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2026 · 6 Apr, Evening shift · Q22

JEE Main 20266 Apr, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

(1-x^3)^{10}=\displaystyle\sum_{r=0}^{10}a_rx^r(1-x)^{30-2r}

, then

\dfrac{9a_9}{a_{10}}

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.