Ellipse......

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$\textbf{Find the Ellipse with the largest area such that $\mathbf{x+2y=2}$ is a\\\\ tangent and his foci is at $\mathbf{(-c,0)}$ and $\mathbf{(c,0)}$ for some $\mathbf{0<c<2}$}\\

#Mathematics #Co-ordinate Geometry

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sagnik sarkar ·2011-05-11 20:51:20

Here 2ae=2c
i.e ae=c...(1)

To find a, refer to the following link:

http://www.targetiit.com/iit-jee-forum/posts/ellipse-19043.html

Thus obtain, a, b in terms of c.

Now, area of ellipse = pi* a* b=f(c) i.e a function of c.

Then, maximise f(c) for 0<c<2.

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Basic Integral Calculus Operators Symbols Matrix Cases

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Ellipse......

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