What is the equation of the ellipse that inscribes a rectangle, in which another ellipse of equation x^2 +4y^2 = 4 is inscribed ?

What is the equation of the ellipse that inscribes a rectangle, in whi

1.	What is the equation of the ellipse that inscribes a rectangle, in which another ellipse of equation x^2 +4y^2 = 4 is inscribed ?
Answer» The desired ellipse is x²/16 + 3/4 ×y² = 1 orx²+ 12y²= 16 The given ellipse i.e. x²+ 4y²= 4and rectangle both lie in the first quadrant.