^ n-1 C_r = (k^2 - 8) , ^nC_ r+1 if and only if :

JEE Main 2024 Mathematics question

if and only if :

Answer: (D)

ⁿ⁻¹ = (k² − 8)(n/(r+1)) ⁿ⁻¹, so k² − 8 = (r+1)/n. Since 0 ≤ r ≤

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Question ID VK-016722