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{L}{L}' is the latus sectum of the parabola {y}^{{2}}={4}{a}{x

Question

$L L^{'}$ is the latus sectum of the parabola $y^{2} = 4 a x a n d P P^{'}$ is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium $P P^{p r i m e} L L^{'}$ is maximum when the distance $P P^{'}$ from the vertex is $a / 9 .$

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L L^{'}

is the latus sectum of the parabola

y^{2} = 4 a x a n d P P^{'}

is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium

P P^{p r i m e} L L^{'}

is maximum when the distance

P P^{'}

from the vertex is

a / 9 .

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Question Text

L L^{'}

is the latus sectum of the parabola

y^{2} = 4 a x a n d P P^{'}

is a double ordinate drawn between the vertex and the latus rectum. Show that the area of the trapezium

P P^{p r i m e} L L^{'}

is maximum when the distance

P P^{'}

from the vertex is

a / 9 .

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