Home
Class 12
MATHS
The eccenticity of the ellipse 9x^(2) + ...

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

A

`1/3`

B

`2/3`

C

`3/4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Fill in the blanks )|14 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (Choose the odd man out : )|5 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    SURA PUBLICATION|Exercise Exercise 5.6|25 Videos
  • THEORY OF EQUATIONS

    SURA PUBLICATION|Exercise 4 MARKS|5 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 9x^(2)+5y^(2)-54x-40y+116=0 is:

Find the coordinates of the foci, the vertices, the lengths of major and minor axes and the eccentricity of the ellipse 9x^(2)+4y^(2)=36

The eccentricity of the ellipse 9x^2+25 y^2-18 x-100 y-116=0 is 25//16 b. 4//5 c. 16//25 d. 5//4

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

The eccentricity of ellipse (x^(2))/(25)+(y^(2))/(9)=1 is ……………. .

The centre of the ellipse 8x^2 + 6y^2 - 16x + 12y + 13 = 0

Find the lengths of the major and minor axes and the eccentricity of the ellipse ((3x-4y+2)^2)/(16)+((4x+3y-5)^2)/9=1

The maximum distance of the centre of the ellipse (x^(2))/(16) +(y^(2))/(9) =1 from the chord of contact of mutually perpendicular tangents of the ellipse is

SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -ADDITIONAL QUESTIONS ( MCQ)
  1. If ( 0,4) and (0,2) are the vertex and focus of a parabola then its e...

    Text Solution

    |

  2. The equation of the directrix of the parabola y^(2) + 4y + 4x + 2 =...

    Text Solution

    |

  3. Equation of tangent at (-4,-4) on x^2 = -4y is

    Text Solution

    |

  4. y^(2) -2x -2y + 5 =0 is a

    Text Solution

    |

  5. If a parabolic reflector is 20 cm in diameter and 5 cm deep, then i...

    Text Solution

    |

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

    Text Solution

    |

  7. The length of the latus rectum of the ellipse x^(2)/49 + y^(2)/36 = 1...

    Text Solution

    |

  8. If the distance between the foci is 2 and the distance between the dir...

    Text Solution

    |

  9. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  10. The equation 7x^(2) - 6sqrt3 xy + 13y^(2) - 4sqrt3 - 4y- 12 =0 repres...

    Text Solution

    |

  11. The distance between the foci of a hyperbola is 16 and e = sqrt2 . It...

    Text Solution

    |

  12. If the foci of the ellipse x^(2)/16 + y^(2)/b^(2) =1 and the hyperbo...

    Text Solution

    |

  13. When the eccentricity of a ellipse becomes zero , then it becomes a

    Text Solution

    |

  14. The director circle of the ellispe x^(2)/9 + y^(2)/5 = 1

    Text Solution

    |

  15. The auxiliary circle of the ellipse x^(2)/25 + y^(2)/16 = 1

    Text Solution

    |

  16. The length of the diameter of a circle with centre (1,2) and passing t...

    Text Solution

    |

  17. If (1,-3) is the centre of the circle x^(2) + y^(2) +ax + by + 9 =0 ...

    Text Solution

    |

  18. If y = 2x + c is a tangent to the circel x^(2) + y^(2) = 5 , then...

    Text Solution

    |