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Position Of A Point Relative To A Parabo...

Position Of A Point Relative To A Parabola|Chord Joining Two Points|Focal Chord|OMR

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prove that for a suitable point P on the axis of the parabola,chord AB through the point P can be drawn such that [((1)/(AP^(2)))+((1)/(BP^(2)))] is same for all positions of the chord.

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