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JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

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Question : 21

Total: 90

Consider a matrix A=[

α	β	γ
α2	β2	γ2
β+γ	γ+α	α+β

], where α,β,γ are three distinct natural numbers. If ‌

det(adj(adj(adj(adj‌A))))

(α−β)16(β−γ)16(γ−α)16

=232×316, then the number of such 3 - tuples (α,β,γ) is _________.

[27-Jul-2022-Shift-2]

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