Home
Class 12
MATHS
The eccentricity of the ellipse x^(2)+4y...

The eccentricity of the ellipse `x^(2)+4y^(2)+2x+16y+13=0` is

A

`sqrt(3)/(2)`

B

`1/2`

C

`(1)/sqrt(3)`

D

`(1)/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|65 Videos

  • ELLIPSE

    AAKASH SERIES|Exercise EXERCISE-I|52 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 9x^(2)+4y^(2)=36 is

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

The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

The eccentricity of the ellipse 9x^(2)+ 16y^(2)= 144 is

The eccentricity of the ellipse 9x^(2)+5y^(2)-30y=0 is

The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

The eccentricity of the ellipse 9x^(2)+25y^(2)-18x-100y+20=0 is

AAKASH SERIES-ELLIPSE-EXERCISE-II
  1. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  2. A focus of an ellipse is at the origin the directrix is the line x=4 a...

    Text Solution

    |

  3. The eccentricity of the ellipse x^(2)+4y^(2)+2x+16y+13=0 is

    Text Solution

    |

  4. LL^(1) is the latus rectum of an ellipse and triangleS^(1)LL^(1) is an...

    Text Solution

    |

  5. The area of an ellipse is 8pi sq. units dist. between the foci is 4sqr...

    Text Solution

    |

  6. Statement-I : If a Iatusrectum of an ellipse subtends angle 60^(@) at ...

    Text Solution

    |

  7. A circle is described with minor axis of an ellipse as a diameter. If ...

    Text Solution

    |

  8. The eccentricity of the ellipse given by the locus of the point P(x, y...

    Text Solution

    |

  9. If (5, 12) and (24, 7) are the focii of conic passing through (0, 0), ...

    Text Solution

    |

  10. If S and S^(1) are the foci BB^(1) is the minor axis such that Ang(SBS...

    Text Solution

    |

  11. The eccentricity of the ellipse x^(2)/9+y^(2)/16=1 is

    Text Solution

    |

  12. The eccentricity of the ellipse 9x^(2) + 5y^(2) - 18x - 2y - 16 = 0 is

    Text Solution

    |

  13. In an ellipse the distance between the foci is 6 and it's minor axis i...

    Text Solution

    |

  14. S and S^(1) foci of an ellipse. B is one end of the minor axis. If I.S...

    Text Solution

    |

  15. The slopes of the tangents drawn from (4, 1) to the ellipse x^(2)+2y^(...

    Text Solution

    |

  16. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

    Text Solution

    |

  17. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

    Text Solution

    |

  18. Statement-I : The distance of the normal to x^(2) + 2y^(2) = 5 at (1,s...

    Text Solution

    |

  19. The product of the perpendicular distances drawn from the foci to any ...

    Text Solution

    |

  20. The angle between the tangents drawn from the point (1,2) to the ellip...

    Text Solution

    |