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|6 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 to the hyperbola whose foci, are (6,4) and (-4,4) and eccentricity is 2.

Find the equation of the hyperbola whose foci are (8, 3), (0, 3) and whose eccentricity is 4/3 .

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 directrix is 2x+y=1, focu s(1,2) and eccentricity sqrt(3)dot

Find the equation of the hyperbola whose vertices are (+-6, 0) and one of the directrices is x=4.

Find the equation of hyperbola whose foic are (0, pm12) and length of latus rectum is 36.

Find the equation of the hyperbola passing through the points (2, 1) and (4, 3).

Find the equation of the hyperbola with vertices are (+-6, 0) and e=5/3 . Locate its foci.

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

Find the equation of the parabola whose focus is (5,3) and directrix is the line 3x-4y+1=0.

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 latus-rectum is 8 and length o...

    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...

    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

    |