JEE Main 24 Jan 2025 Shift 1 Paper
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Question : 23 of 75
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Let A be a 3 × 3 matrix such that X ⊤ A X = O for all nonzero 3 × 1 matrices X = [
] . If A [
] = [
] , A [
] = [
] , and det ( adj ( 2 ( A + I ) ) ) = 2 α 3 β 5 γ . α , β , γ ∈ N , then α 2 + β 2 + γ 2 is _____ .
[24 Jan 2025 Shift 1]
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