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

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 is

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