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Find the equation of th ellipse, the co-...

Find the equation of th ellipse, the co-ordinates of whose foci are `(pm 3, 0)` and eccentricity is `(1)/(2)`.

A

`(x^(2))/(36) + (y^(2))/(27) = 1`

B

`(x^(2))/(256) + (y^(2))/(81) = 1`

C

`(x^(2))/(9) + (y^(2))/(81) = 1`

D

`(x^(2))/(9) + (y^(2))/(81) =1 `

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Distance between an end of a latus-rectum of the parabola y^(2) = 16x...

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  2. Semi-axes are 3 and 2

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  3. Find the equation of th ellipse, the co-ordinates of whose foci are (p...

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  4. Find the equation of the ellipse which passes through the points (3,1)...

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  5. Find the equation to the ellipse (referred to its axes as the axes of ...

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  6. Find equation of ellipse whose l(latus-rectum) = (5)/(2) and eccentri...

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  7. Minor axis = 6 and one vertex at (5,0) .

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  8. Major axis = 3 (minor axis) and l (latus-rectum ) = 2

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  9. Foci are (pm 3,0) " and vertices " (pm 5,0)

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  10. Find equation of ellipse whose vertices are (pm 3,0) and passes thro...

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  11. Distance between foci is 6 and eccentricity is 3/5

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  12. Distance between directrices is 10 and eccentricity (1)/(sqrt(5)) .

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  13. Distance between foci is 4 and distance between directrices is 5

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  14. Distance between foci is 8 and major axis is 10.

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  15. Distance between directrices = (25)/(2) , minor axis = 6

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  16. Distance between foci = 2 and vertices are (pm 2,0)

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  17. Distance between a focus and the corresponding directrix of an ellipse...

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  18. An ellipse , with principal axes along co-ordinate axes has eccentrici...

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  19. If two ellipse E ( a gt b ) "and " E ( alpha gt beta ) have the same...

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  20. If latus-rectum is one-third minor axis, then eccentricity of the elli...

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