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 \(C(0,5,1)\) …

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 \(Q(\alpha, \beta, \gamma)\). Then \(\left(\alpha^2+\beta^2+\gamma^2\right)\) is equal to:

[JEE Main 2023, 10 Apr (Shift 2)]