JEE Main 2024 Mathematics question

MathematicsDeterminantsJEE Main 2024

For α, β ∈ R and a natural number n, let . Then 2A₁₀ − A₈ is

Answer: (A)

Solution

Expanding the determinant (or using R₂ − 2R₁ and R₃ − 3R₁ + ...), the terms in r cancel and for every r. So 2A₁₀

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Question ID VK-011735