L L ' is the latus sectum of the parabol...

`L L '` is the latus sectum of the parabola `y^2=4a xa n dP P '` is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium `P P^(prime)L L '` is maximum when the distance `P P '` from the vertex is `a//9.`

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L L ' is the latus rectum of the parabola y^2 = 4ax and PP' is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium P P^(prime)L L ' is maximum when the distance P P ' from the vertex is a//9.

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