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If the points of intersection of the parabolas $y^{2} = 5 x$ and $x^{2} = 5 y$ lie on the line L, then the area of the triangle formed by the directrix of one parabola, latus rectum of another parabola and the line L is

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$\frac{15}{32}$

$\frac{12}{25}$

$\frac{25}{8}$

$\frac{25}{32}$

answer is C.

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