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[" A variable straight line of slope "4],[" intersects the hyperbola "xy=1" at two "],[" points.The locus of the points which "],[" divides the line segment between these "],[" two points in the ratio "1:2" is "],[" (A) "16x^(2)+10xy+y^(2)=2],[" (B) "16x^(2)-10xy+y^(2)=2],[" (C) "16x^(2)+10xy+y^(2)=4],[" (D) "16x^(2)-10xy+y^(2)=4]

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