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

The eccentricity of the hyperbola
`9 x^(2)-16 y^(2)-18 x-64 y-199=0` is

A

`(16)/(9)`

B

`(5)/(4)`

C

`(25)/(16)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos
  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y-151=0 is

The eccentricity of the hyperbola 3 x^(2)-4 y^(2)=-12 is

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

The eccentricity of the hyperbola 4x^(2)-9y^(2)-8x=32 is

The eccentricity of the hyperbola 36 x^(2)-25 y^(2)=900 is

The centre of the hyperbola 9 x^(2)-16 y^(2)-18 x-32 y=151 is

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

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

HIMALAYA PUBLICATION-HYPERBOLA-QUESTION BANK
  1. The eccentricity of the hyperbola with asymptotes 3 x+4 y=2 and 4 x-3 ...

    Text Solution

    |

  2. The equation of a tangent parallel to y=x drawn to (x^(2))/(3)-(y^(2))...

    Text Solution

    |

  3. The eccentricity of the hyperbola 9 x^(2)-16 y^(2)-18 x-64 y-199=0 i...

    Text Solution

    |

  4. Let P(a sec theta,b tan theta) and Q(a sec varphi, b tan varphi) where...

    Text Solution

    |

  5. The equation (x^(2))/(1-r)+(y^(2))/(r-3)+1=0 represents an ellipse if ...

    Text Solution

    |

  6. If the line y=3 x+lambda touches the hyperbola 9 x^(2)-5 y^(2)=45, the...

    Text Solution

    |

  7. The equation to the normal to the hyperbola (x^(2))/(16)-(y^(2))/(9)=1...

    Text Solution

    |

  8. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  9. The distance of the focua of x^(2)-y^(2)=4 from the directrix which is...

    Text Solution

    |

  10. The equation of a hyperbola whose asymtotes are 3xpm5y=0 and vertices ...

    Text Solution

    |

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

    Text Solution

    |

  12. The distance between the directrices of the hyperbola x=8sectheta,y=8t...

    Text Solution

    |

  13. If x = 9 is the chord of contact of the hyperbola x^2-y^2=9 , then the...

    Text Solution

    |

  14. If e(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(25)=1...

    Text Solution

    |

  15. A hyperbola having the transversal axis of length 2sintheta is confoca...

    Text Solution

    |

  16. For the hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1 , which of the f...

    Text Solution

    |

  17. An ellipse intersects the hyperbola 2 x^(2)-2 y^(2)=1 orthogonally. Th...

    Text Solution

    |

  18. The equation of the common tangents to the circle x^(2)+y^(2)=2 a^(2) ...

    Text Solution

    |

  19. The circle x^(2)+y^(2)-8 x=0 and hyperbola (x^(2))/(9)-(y^(2))/(4)=1 i...

    Text Solution

    |

  20. The line 3 x+4 y+5=0 is a tangent to the hyperbola x^(2)-4 y^(2)=5 at

    Text Solution

    |