JEE Main 2012 — Ellipse Question with Solution
From: AIEEE 2012
Question
An ellipse is drawn by taking a diameter of thec circle as its semi-minor axis and a diameter of the circle is semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Equation of circle is
radius and diameter
Length of semi-minor axis is
Equation of circle is
radius and diameter
Length of semi major axis is
We know, equation of ellipse is given by
radius and diameter
Length of semi-minor axis is
Equation of circle is
radius and diameter
Length of semi major axis is
We know, equation of ellipse is given by
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This is a previous-year question from JEE Main 2012, 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.