JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics
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Question : 21 of 90
 
Marks: +1, -0
Consider a matrix A=[
αβγ
α2β2γ2
β+γγ+αα+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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