Mathematics · 2025
JEE Main · 3 April 2025, Shift 1 · Q8
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 to
If $\displaystyle \sum_{r=1}^9\left(\frac{r+3}{2^r}\right) \cdot{ }^9 C_r=\alpha\left(\frac{3}{2}\right)^9-\beta, \alpha, \beta \in \mathbb{N}$, then $\displaystyle (\alpha+\beta)^2$ is equal to
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 81$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.