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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

A

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

B

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

C

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

D

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

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The equation of the ellipse with its focus at (6, 2), centre at (1, 2)...

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  2. The centre is (2, -3), focus (3, -3) and the vertex is at (4, -3). The...

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

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  4. The equation of the ellipse whose vertices are (4, 1), (6, 1) whose fo...

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  5. Equation of the ellipse whose axes are the axes of coordinates and whi...

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  6. The centre of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 is

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  7. The centre of the ellipse (x+y-2)^(2)/9+(x-y)^(2)/16=1 is

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  8. The centre of the ellipse (x+y-3)^(2)/9+(x-y+1)^(2)/16=1 is

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  9. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

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  10. The vertices of the ellipse 4x^(2)+9y^(2)-24x+36y-72=0 are

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  11. The foci of the ellipse (x-1)^(2)/5+(y-5)^(2)/9=1 is

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  12. The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

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  13. The length of the major axis of the ellipse (x-3)^(2)/4+(y-2)^(2)/9=1 ...

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  14. The length of the major axis of 3x^(2)+4y^(2)+6x-8y-5=0 is

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  15. The length of the minor axis of 9x^(2)+25y^(2)-18x-100y-116=0 is

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  16. In an ellipse, minor axis = 8 and eccentricity = sqrt(5)//3 then major...

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  17. A focus of an ellipse is at the origin. The directrix is the line x = ...

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  18. The length of the latus rectum of the ellipse (x-1)^(2)/4+(y+2)^(2)/25...

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  19. The length of the latus rectum of the ellipse 9x^(2)+25y^(2)-18x-100y-...

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  20. If the latus rectum of the ellipse x^(2)tan^(2)alpha+y^(2)sec^(2)alpha...

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