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The ellipse x^2+""4y^2=""4 is inscribed ...

The ellipse `x^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). Then the equation of the ellipse is (1) `x^2+""16 y^2=""16` (2) `x^2+""12 y^2=""16` (3) `4x^2+""48 y^2=""48` (4) `4x^2+""64 y^2=""48`

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To solve the problem, we need to find the equation of the larger ellipse that is inscribed in a rectangle, which in turn is inscribed in the given ellipse \( x^2 + 4y^2 = 4 \). ### Step 1: Understand the given ellipse The equation of the given ellipse is: \[ x^2 + 4y^2 = 4 \] We can rewrite this in standard form by dividing the entire equation by 4: ...
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