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Binomial Theorem · 2024 · 30 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

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2024 · 30 Jan · Shift 2
Mathematics
Binomial Theorem

Binomial Theorem · 2024 · 30 Jan · Shift 2

2 Mathematics questions from this JEE Main paper

Q45.Suppose $2 - p, p, 2 - α, α$ are the coefficients of four consecutive terms in the expansion of $(1 + x)^{n}$ . Then the value of $p^{2} - α^{2} + 6 α + 2 p$ equals
Mathematics · Binomial Theorem · MCQ
Q59.Let $α = \sum_{k = 0}^{n} (\frac{( ^{n} C _{k} ) ^{2}}{k + 1})$ and $β = \sum_{k = 0}^{n - 1} (\frac{^{n} C _{k} ^{n} C _{k + 1}}{k + 2})$ If $5 α = 6 β$ , then $n$ equals .
Mathematics · Binomial Theorem · Numerical