Mathematics · 2014
JEE Main · 11 April 2014, Shift 1 · Q78
A stair-case of length l rests against a vertical wall and a floor of a room,. Let P be a point on the stair-case, nearer to its end on the wall,…
A stair-case of length $\displaystyle l$ rests against a vertical wall and a floor of a room,. Let P be a point on the stair-case, nearer to its end on the wall, that divides its length in the ratio $\displaystyle 1$ : 2. If the stair-case begins to slide on the floor, then the locus of P is :
Official answer
(2)
an ellipse of eccentricity $\displaystyle \frac{\sqrt{3}}{2}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.