Home
Class 12
MATHS
The eccentricity of the hyperbola 9x^(2...

The eccentricity of the hyperbola ` 9x^(2) -16y^(2) =144 ` is

A

`4//3`

B

`5//4`

C

` 4//5`

D

` 3//5`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B|32 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 1|4 Videos

  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

  • HYPERBOLIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 {SPECIAL TYPE QUESTIONS} SET - 4|3 Videos

Similar Questions

Explore conceptually related problems

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

The eccentricity of the hyperbola 9x^(2) -16y^(2) +72 x- 32 y- 16 =0 is

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

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

The locus of the mid-points of the chords of the circle x^(2) + y^(2) = 16 which are the tangents to the hyperbola 9x^(2) - 16y^(2) = 144 is

The equations of the tangents to the hyperbola 9x^(2) -16y^(2) =144 at the ends of latus rectum are

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

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The length of the latus rectum of the hyperbola x^(2) -4y^(2) =4 is

    Text Solution

    |

  2. The length of the latus rectum of the hyperbola 9x^(2) -16y^(2) +72x ...

    Text Solution

    |

  3. The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

    Text Solution

    |

  4. The eccentricity of the hyperbola 9x^(2) -16y^(2) +72 x- 32 y- 16 =0 ...

    Text Solution

    |

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

    Text Solution

    |

  6. The eccentricity of the rectangular hyperbola is

    Text Solution

    |

  7. The eccentricity of the hyperbola whose latus rectum is equal to half...

    Text Solution

    |

  8. The eccentricity of the hyperbola whose latus rectum is equal to half ...

    Text Solution

    |

  9. The eccentricity of the hyperbola whose length of the latus rectum is ...

    Text Solution

    |

  10. If e and e' are the ecentricity of the hyperbola x^(2)//a^(2) -y^(2) ...

    Text Solution

    |

  11. If e1 and e2 are the eccentricities of a hyperbola and its conjugates ...

    Text Solution

    |

  12. If the eccentricities of a hyperbola is sqrt3 ,then the eccentricity...

    Text Solution

    |

  13. If e and e1 are the eccentricities of the hyperbola xy=c^(2) ,x^(2) ...

    Text Solution

    |

  14. If (5,12), (24,7) are the foci of the hyperbola passing through origin...

    Text Solution

    |

  15. The distance between the foci is 4sqrt (13) and the length of conjuga...

    Text Solution

    |

  16. The locus of the point of intersection of the lines sqrt(3)x-y-4sqrt(...

    Text Solution

    |

  17. If the latusrectum subtends a right angle at the centre of the hyperbo...

    Text Solution

    |

  18. If the latus rectum of a hyperbola forms an equilateral triangle with ...

    Text Solution

    |

  19. If the latus rectum of a hyperbola through one focus subtends 60^(@) ...

    Text Solution

    |

  20. If the latus rectum through one focus subtends a right angle at the fa...

    Text Solution

    |