Let the image of the point P(1,2,6) in the plane passing through the points A (1,2,0), B (1,4,1) and C (0,5,1) be Q (α, β, γ). Then (α^2+β^2+γ^2) is…

Let the image of the point $\displaystyle P(1,2,6)$ in the plane passing through the points $\displaystyle \mathrm{A}(1,2,0), \mathrm{B}(1,4,1)$ and $\displaystyle \mathrm{C}(0,5,1)$ be $\displaystyle \mathrm{Q}(\alpha, \beta, \gamma)$. Then $\displaystyle \left(\alpha^2+\beta^2+\gamma^2\right)$ is equal to