Home
Class 12
MATHS
The eccentricity of the ellipse 5x^(2)...

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

A

`(3)/(4)`

B

`(sqrt(3))/(2)`

C

`(4)/(5)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Qustions|33 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Short Answer Type Questios|48 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

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

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

The eccentricity of the hyperbola 4x^(2)-9y^(2) =36 is:

Calculate the eccentricity of the ellipse (x^(2))/(169)+(y^(2))/(144) = 1

The eccentricity of the ellipse (x -3)^2 + (y-4)^2=y^2/9

The eccentricity of the hyperbola 9x^(2) -4y^(2) + 36 = 0 is

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

Find the coordinates of the vertices of the ellipse 5 x^(2) + 9y ^(2) - 10x + 90 y + 185 = 0

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

The coordinates of the centre of the ellipse 4x^(2) + 9y^(2) - 16 x + 18 y - 11 = 0 are _

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |