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The ellipse x2 + 4y2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0), then the equation of the ellipse is

The ellipse x2 + 4y2 = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0), then the equation of the ellipse is

Grade:12

2 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 years ago
240-796_11.PNG
Thanks and Regards
Shaik Aasif
askIITians Faculty
Yash Chourasiya
askIITians Faculty 256 Points
one year ago
Dear Student

The given ellipse is x2/4 + y2/1 = 1
i.e., the point A, the corner of the rectangle in 1st quadrant, is (2, 1).
Again the ellipse circumscribing the rectangle passess through the point (4, 0),
so its equation is643-741_Untitled.png

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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