The ellipse is inscribed in a rectangle aligned with the coordinate axes

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The ellipse x2+4y2=4x^2 + 4y^2 = 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)(4, 0). Then, find the equation of the ellipse. (1) x2+12y2=16x^2 + 12y^2 = 16 (2) 4x2+48y2=484x^2 + 48y^2 = 48 (3) 4x2+64y2=484x^2 + 64y^2 = 48 (4) x2+16y2=16x^2 + 16y^2 = 16

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