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If the distance foci of an ellipse is 8 ...

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

A

`5x^(2) - 9y^(2) = 180`

B

`9x^(2) + 5y^(2) = 180`

C

`x^(2) + 9y^(2) = 180`

D

`5x^(2) + 9y^(2) = 180`

Text Solution

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The correct Answer is:
D
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. If the eccentricities of the two ellipse (x^(2))/(169)+(y^(2))/(25)=...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Eccentricity and latus-rectum of x^(2) - 3y^(2) = 36 are

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  16. For hyperbola, If transverse axis = conjugate axis , then e =

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  17. If transverse axis = 2 (latus-rectum ), then e =

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  18. If conjugate axis = 2 (latus-rectum ), then e =

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  19. If distance between foci = 3 (distance between directrices) . Then e =

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  20. Focus of the parabola y^(2) = 8x is a vertex of a hyperbola whose con...

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