Mathematics · 2024
JEE Main · 27 January 2024, Shift 2 · Q24
The coefficient of x^2012 in the expansion of (1-x)^2008(1+x+x^2)^2007 is equal to ____.
The coefficient of $\displaystyle x^{2012}$ in the expansion of $\displaystyle (1-x)^{2008}\left(1+x+x^2\right)^{2007}$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
0
More from Binomial Theorem
- If Σ_r=0^5 (^11 C_2 r+1)/(2 r+2)=m/n, gcd(m, n)=1, then m-n is equal to ____.2025
- In the expansion of (1+x)(1-x^2)(1+3/x+3/x^2+1/x^3)^5, x ≠ 0, the sum of the coefficients of x^3 and x^-13 is equal to ____2024
- If the sum of the coefficients of x^7 and x^14 in the expansion of (1/x^3-x^4)^n, x ≠ 0, is zero, then the value of n is ____.2026
- If (1/(^15 C_0)+1/(^15 C_1))(1/(^15 C_1)+1/(^15 C_2)) ⋯(1/(^15 C_12)+1/(^15 C_13))=(α^13)/(^14 C_0^14 C_1 …^14 C_12), then 30 α is equal to ____.2026
- The sum of the coefficients of x^499 and x^500 in (1+x)^1000+x(1+x)^999+x^2(1+x)^998+…+x^1000 is:2026
- Let α, β, γ and δ be the coefficients of x^7, x^5, x^3 and x respectively in the expansion of (x+√(x^3-1))^5+(x-√(x^3-1))^5, x>1. If u and v satisfy…2025
- If Σ_r=1^9((r+3)/2^r) ·^9 C_r=α(3/2)^9-β, α, β ∈ N, then (α+β)^2 is equal to2025
- The remainder when ((64)^(64))^(64) is divided by 7 is equal to2025
JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.