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If the distance between the foci of an e...

If the distance between the foci of an ellipse is equal to the length of the latus rectum, then its eccentricity is _

A

`(1)/(sqrt(2))`

B

`(sqrt(5)-1)/(2)`

C

`(1)/(2)`

D

`(sqrt(5)-1)/(4)`

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Verified by Experts

The correct Answer is:
B
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CHHAYA PUBLICATION-ELLIPSE-M . C . Q
  1. If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  2. If the length of the minor axis of an ellipse is equal to the distan...

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  3. The parametric equations of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

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  4. The eqation of auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2...

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  5. If a point moves on a plane is such a way that the sum of its dista...

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  6. The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is

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  7. The coordinates of the vertices of the ellipse 4x^(2) + y^(2) = 16 ...

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  8. The eccentricity of the ellipse 4x^(2) + 25y^(2) = 100 is

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  9. The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is

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  10. The coordinates of the vertices of the ellipse x^(2) + 4y^(2) = 16 ...

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  11. The length of major axis of the ellipse 4x^(2) + 9y^(2) = 36 is

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  12. The eccentricity of the ellipse 25 x^(2) + 4y^(2) = 100 is

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  13. The length of minor axis of the ellipse 9x^(2) + 4y ^(2) = 36 is

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  14. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

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  15. If the equation (x^(2))/(4-m)+(y^(2))/(m-7)+ 1 = 0 represents an e...

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  16. The sum of the focal distances of any point on the ellipse 4x^(2) +...

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  17. If the distance between the foci of an ellipse is equal to the length ...

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  18. The eccentricity of the ellipse 5x^(2) + 9y^(2) = 1 is

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  19. If e and a be the eccentricity and length of semi - major axis of an e...

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  20. The coordinates of the centre of the ellipse 4x^(2) + 9y^(2) - 16 x +...

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