JEE Main 2014 — Ellipse Question with Solution
JEE Main 2014 (12 Apr Online)
Question
The minimum area of a triangle formed by any tangent to the ellipse and the co-ordinate axes is:
Choose an option
Show full solutionCorrect option: D
Correct answer
D36
Step-by-step explanation
Let be the point on ellipse through which tangent is passing. Equation of tangent at at at Area of must satisfy equation of ellipse Putting value of in equation (1) differentiating w.r. to For both value of k, A" Area will be minimum for Area of triangle sq unit
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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.