Let αβγ = 45; α, β, γ ∈ R. If x(α, 1, 2) + y(1, β, 2) + z(2, 3, γ) = (0, 0, 0) for some x, y, z ∈ R, xyz ≠ 0,...

Question

Let αβγ = 45; α, β, γ ∈ R. If x(α, 1, 2) + y(1, β, 2) + z(2, 3, γ) = (0, 0, 0) for some x, y, z ∈ R, xyz ≠ 0, then 6α + 4β + γ is equal to_______

Accepted Answer

55

JEE Main 2024 Mathematics question