Mathematics-I for B.Sc. CSIT First Semester, TU - One-Variable Maxima and Minima (Example 2)

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Nepal Kshitiz Mangal Bajracharya
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Published on ● Video Link: https://www.youtube.com/watch?v=TzUP6sU75CI


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In this video, we solve Q.12(b) of Exercise 4.2 of the textbook. We are given a rectangle inscribed within an ellipse with a standard equation. We are asked to find the maximum possible area of the rectangle. To do so, we make use of the property that a rectangle inscribed inside an ellipse is always symmetrically placed with its adjacent sides being parallel to the major and minor axes of the ellipse, respectively (this property is used without proof; you can consult old European textbooks on Analytical Geometry which discusses diametral properties of an ellipse for a proof).



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