Let the area of the triangle with vertices \( A(1, \alpha), B(\alpha, 0) \) and \( C(0, \alpha) ...

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Let the area of the triangle with vertices \( A(1, \alpha), B(\alpha, 0) \) and \( C(0, \alpha) \) be 4 sq. units. If the points \( (\alpha-\alpha),(-\alpha, \alpha) \) and \( \left(\alpha^{2}, \beta\right) \) are collinear, then \( \beta \) is equal to
(a) 64
(b) -8
(c) -64
(d) 512
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