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(C) Let the focal chord of the parabola $y^2 = 4ax$ be divided into two segments of lengths $b$ and $c$ by the focus $(a, 0)$.If the semi-latus rectum

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$\frac{2bc}{b + c}$

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(C) Let the focal chord of the parabola $y^2 = 4ax$ be divided into two segments of lengths $b$ and $c$ by the focus $(a, 0)$.If the semi-latus rectum of the parabola is $l$,then the lengths of the segments of a focal chord are related to the semi-latus rectum by the harmonic mean property.Specifically,the semi-latus rectum $l$ is the harmonic mean of the segments $b$ and $c$.Therefore,$\frac{1}{l} = \frac{1}{2} (\frac{1}{b} + \frac{1}{c})$.$\frac{1}{l} = \frac{1}{2} (\frac{b + c}{bc})$.Thus,$l = \frac{2bc}{b + c}$.

If $b$ and $c$ are the lengths of the segments of any focal chord of the parabola $y^2 = 4ax$,then what is the length of the semi-latus rectum?

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