JEE Main 24 Jan 2025 Shift 1 Paper

Section: Mathematics
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Question : 23 of 75
 
Marks: +1, -0
Let A be a 3×3 matrix such that XAX=O for all nonzero 3×1 matrices X=[
x
y
z
]
. If A[
1
1
1
]
=[
1
4
5
]
, A[
1
2
1
]
=[
0
4
8
]
, and det(adj(2(A+I)))=2α3β5γ. α,β,γN, then α2+β2+γ2 is _____ .
[24 Jan 2025 Shift 1]
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