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