Let the area of the triangle with vertices A(1, α), B(α, 0) and C(0, α) be 4 sq. units. If the points (α,-α),(-α, α) and (α^2, β) are collinear, then…

Let the area of the triangle with vertices $\displaystyle A(1, \alpha), B(\alpha, 0)$ and $\displaystyle C(0, \alpha)$ be $\displaystyle 4$ sq. units. If the points $\displaystyle (\alpha,-\alpha),(-\alpha, \alpha)$ and $\displaystyle \left(\alpha^2, \beta\right)$ are collinear, then $\displaystyle \beta$ is equal to