JEE Main 2019 — Ellipse Question with Solution
JEE Main 2019 (11 Jan Shift 2)
Question
Let the length of the latus rectum of an ellipse with its major axis along -axis and centre at the origin, be 8 . If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lies on it?
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Let the ellipse be
Then, and
Then, the equation of the ellipse
Hence, the point lies on the ellipse.
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This is a previous-year question from JEE Main 2019, 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.