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[" A stair-case of length I rests agains...

[" A stair-case of length I rests against a vertical wall and a floor of a room,Let P be a point on the stair-case,"],[" neare to its end on the wall,that divides its length in the ratio "1:2." If the stair case begins to slide on the "],[" floor,then the locus of P is: "],[[" (1) An ellipse of eccentricity "(sqrt(3))/(2)," (2) A circle of radius "(ell)/(2)],[" (3) An ellipse of eccentricity "(1)/(2)," (4) A circle of radius "(sqrt(3))/(2)ell]]

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