1.

The ellipse \[{{x}^{2}}+4{{y}^{2}}=4\]is inscribed in a rectangle aligned with the coordinate axes, which is in turn inscribed in another ellipse that passes through the point (4, 0). Then the equation of the ellipse is

A. \[{{x}^{2}}+16{{y}^{2}}=16\]
B. \[{{x}^{2}}+12{{y}^{2}}=16\]
C. \[4{{x}^{2}}+48{{y}^{2}}=48\]
D. \[4{{x}^{2}}+64{{y}^{2}}=48\]
Answer» C. \[4{{x}^{2}}+48{{y}^{2}}=48\]


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