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P is a point ony^2=4ax lying in the firs...

P is a point on`y^2=4ax` lying in the first quadrant and on the arc OL, where O (0,0) is the vertex M is the foot of the perpendicular from F (the focus) to the tangent at P Find the maximum area of triangle FMP (L is an extremity of the latus rectum)

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