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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`

A

`x^(2) + 16y^(2) = 16 `

B

`x^(2) + 12y^(2) = 16 `

C

`4x^(2) + 48y^(2) = 48`

D

`4x^(2) + 64y^(2) = 48 `.

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The correct Answer is:
B
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MODERN PUBLICATION-CONIC SECTIONS -COMPETITION FILE
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  2. If P and Q are the points of intersection of the circles x^2+""y^2+...

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  3. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

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  4. The circle x^2 +y^2=4x+8y+ 5 intersects the line 3x-4y= m at two disti...

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  6. If the two circles x^(2) + y^(2) + ax = 0 " and " x^(2) + y^(2) = c^(...

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  11. An ellipse is drawn by taking a diameter of the circle (x – 1)^2 + y^2...

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  12. The circle passing through (1, -2) and touching the axis of x at (3...

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  15. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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