Let the triangle \(P Q R\) be the image of the triangle with vertices \((1,3),(3,1)\) and \((2,4)\) in the line \(x+2 y=…

Let the triangle \(P Q R\) be the image of the triangle with vertices \((1,3),(3,1)\) and \((2,4)\) in the line \(x+2 y=2\). If the centroid of \(\Delta PQR\) is the point \((\alpha, \beta)\), then \(15(\alpha-\beta)\) is equal to :

[JEE Main 2025, 22 Jan (Shift 1)]