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Binomial Theorem question

2025 · 3 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2025 · 3 Apr · Shift 1 · Q41

Binomial Theorem question

2025 · 3 Apr · Shift 1 · Q41

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If

\sum\limits_{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

(\alpha+\beta)^2

is equal to

A
27
B
81
C
18
D
9

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