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Ellipse x^(2) + 4y^(2) = 4 is inscribe...

Ellipse ` x^(2) + 4y^(2) = 4 ` is inscribed in a rectangle aligned with co-ordinate axes . This rectangle itself is inscribed in another ellipse the passes ellipse that through (-4,0) . Then the equation of the ellipse is

A

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

B

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

C

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

D

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

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The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
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  2. Equation of ellipse having letus rectum 8 and eccentricity (1)/(sqrt(2...

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

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  4. Equation (x^(2))/(r-2) + (y^(2))/(5-r) = 1 represents an ellipse if

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  5. The eccentricity of an ellipse with its centre at the origin is (1)/(2...

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  6. The distanve between the foci of an ellipse is 16 and eccentricity is ...

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  7. If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=...

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  8. In the ellipse 9x^(2) + 5y^(2) = 45 , distance between the foci is

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  9. If the distance foci of an ellipse is 8 and distance between its dire...

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  10. Find the equation of the hyperbola whole transverse and conjugate axes...

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  11. Find the equation of hyperbola where, conjugate axis is 3 along Y-axis...

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  12. The length of the transverse axis of a hyperbola is 7 and it passes th...

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  13. One focus at (4,0) corresponding directrix x = 1 .

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  14. Distance between foci = 10 and eccentricity = 3/2

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  15. Conjugate axis = 10 and eccentricity = 6/5

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  16. One focus at (3,0) and eccentricity = 6/5

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  17. Find the equation of hyperbola whose conjugate axis = latus-rectum = 8...

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  18. e = 3/2 and distance between directrices = 8/3

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  19. Equation of the hyperbola in standard form which passes through the po...

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  20. Find the equation of hyperbola whose eccentricity = sqrt(2) and passi...

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