Let \(\alpha\) denote the absolute value of the difference between the lengths of the segments of a focal chord of a parabola. Let \(\beta\) denote the length of a chord passing through the vertex and parallel to that focal chord. Then which of the following is always true?

\(\alpha^2 = 2 \beta\)

\(\alpha = 2 \beta\)

\(\alpha = \beta\)

\(\beta^2 = 2 \alpha\).

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