JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 25th July Evening Shift
Question
If a tangent to the ellipse x2 + 4y2 = 4 meets the tangents at the extremities of it major axis at B and C, then the circle with BC as diameter passes through the point :
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Equation of tangent i (cos)x + 2siny = 2
Equation of circle is
so, satisfying option (1)
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This is a previous-year question from JEE Main 2021, 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.