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Binomial Theorem question

2025 · 3 Apr · Shift 2 · Q48
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  5. /2025 · 3 Apr · Shift 2 · Q48

Binomial Theorem question

2025 · 3 Apr · Shift 2 · Q48

JEE MainMathematicsBinomial TheoremNumerical+4 / −1
Let (1+x+x2)10=a0+a1x+a2x2+…+a20x20\left(1+x+x^2\right)^{10}=a_0+a_1 x+a_2 x^2+\ldots+a_{20} x^{20}(1+x+x2)10=a0​+a1​x+a2​x2+…+a20​x20. If (a1+a3+a5+…+a19)−11a2=121k\left(a_1+a_3+a_5+\ldots+a_{19}\right)-11 a_2=121 k(a1​+a3​+a5​+…+a19​)−11a2​=121k, then kkk is equal to ‾\underline{\hspace{2cm}}​ .
Numerical answer
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