Home
Class 12
MATHS
The eccentricity of the hyperbola 4x^(2...

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

A

` a//b`

B

` sqrtb//a`

C

` sqrt (13/3)`

D

` sqrt13//3`

Text Solution

Verified by Experts

The correct Answer is:
D
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 9x^(2) -16y^(2) =144 is

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

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

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

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

The values of m for which the line y =mx +2 become a tangent to the hyperbola 4x^(2) -9y^(2) =36 is

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

The equation of the chord of the hyperbola 4x^(2) -9y^(2) =36 having (-2,1) as its mid-point is

DIPTI PUBLICATION ( AP EAMET)-Hyperbola -EXERCISE 1A
  1. The eccentricity of the hyperbola 9x^(2) -16y^(2) =144 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The eccentricity of the rectangular hyperbola is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The latus rectum of a hyperbola (x^(2))/( 16) -(y^(2))/( p) =1 is 4(1...

    Text Solution

    |

  20. Let LL' be the latus rectum through the focus S of a hyperbola and A '...

    Text Solution

    |