Home
Class 12
MATHS
Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose foaci are `(0, 5) and (-2, 5)` and eccentricity 3.

Text Solution

Verified by Experts

The correct Answer is:
`8x^(2)-y^(2)-64x+10y+71=0`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Subjective Type Questions|1 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whose foci are (6,4) and (-4,4) and eccentricity is 2 .

The equation of the hyperbola, whose foci are (6, 4) and (-4, 4) and eccentricity is 2, is

The equation of the hyperbola whose foci are (6, 5), (–4, 5) and eccentricity 5//4 is

The equation of the hyperbola whose foci are (6.5),(-4,5) and eccentricity 5/4 is

The equation of the hyperbola whose foci are (-2,0) and (2,0) and eccentricity is 2 is given by

Find the equation of the hyperbola whose foci are (+-sqrt(5),0) and the eccentricity is sqrt((5)/(3)).

The equation of the hyperbola whose vertices are (2,5),(2,-1) and eccentricity 4/3 is

Find the equation of the hyperbola whose vertices are (pm2,0) and eccentricity is (3)/(2) .

ARIHANT MATHS-HYPERBOLA-Exercise For Session 1
  1. The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (...

    Text Solution

    |

  2. If e(1) and e(2) represent the eccentricity of the curves 6x^(2) - 9y^...

    Text Solution

    |

  3. The transverse axis of a hyperbola is of length 2a and a vertex divide...

    Text Solution

    |

  4. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  5. The straight line x+y=sqrt2p will touch the hyperbola 4x^2-9y^2=36 i...

    Text Solution

    |

  6. The equation of the tangent parallel to y-x+5=0" drawan to "(x^(2))/(3...

    Text Solution

    |

  7. If e and e' are the eccentricities of the hyperbola x^2/a^2-y^2/b^2=1...

    Text Solution

    |

  8. If e and e' are the eccentricities of the ellipse 5x^(2) + 9 y^(2) = ...

    Text Solution

    |

  9. The equation (x^(2))/(10-lambda)+(y^(2))/(6-lambda)=1 represents

    Text Solution

    |

  10. Find the centre, eccentricity, foci and directrices of the hyperbola :...

    Text Solution

    |

  11. For hyperbola x^2sec^2alpha-ycos e c^2alpha=1, which of the following ...

    Text Solution

    |

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

    Text Solution

    |

  13. Find the standard equation of hyperbola in each of the following cases...

    Text Solution

    |

  14. Find the equation of the hyperbola whose foaci are (0, 5) and (-2, 5) ...

    Text Solution

    |

  15. Prove that the straight lines x/a-y/b =m and x/a+y/b=1/m, where a and ...

    Text Solution

    |

  16. Find the centre, eccentricity and length of axes of the hyperbola 3x^...

    Text Solution

    |

  17. The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |