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Let A be a vertex of the ellipse S = (x^2)/(4) + (y^2)/(9) - 1 = 0 and F be focus of the ellipse S' = (x^2)/(9) + (y^2)/(4) - 1 = 0 .Let Pbe a point on the major axis of the ellipse S' = 0 , whichdivides bar(OF) in the ratio 2 : 1 (O is the origin ). If the length of the chord of the ellipse S = 0 through A and P is (3 sqrt101)/(k) ,then k =

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Answer :C


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