JEE Main 2014 — Ellipse Question with Solution
JEE Main 2014 (11 Apr Online)
Question
A stair-case of length rests against a vertical wall and a floor of a room. Let be a point on the stair-case, nearer to its end on the wall, that divides its length in the ratio . If the staircase begins to slide on the floor, then the locus of is:
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Show full solutionCorrect option: B
Correct answer
Ban ellipse of eccentricity
Step-by-step explanation
Let point is on -axis and is on -axis.
Let divides in the ratio . So, by section formula Now, Now Thus, required locus of is an ellipse with eccentricity .
Let divides in the ratio . So, by section formula Now, Now Thus, required locus of is an ellipse with eccentricity .
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This is a previous-year question from JEE Main 2014, covering the Ellipse chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.