Home
Class 12
MATHS
If the co-ordinates of the foci and vert...

If the co-ordinates of the foci and vertices of the hyperbola are `(pm13, 0) and (pm 5, 0)` respectively, then find the equation of the hyperbola.

Text Solution

Verified by Experts

`(x^(2))/(25) - (y^(2))/(144) = 1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-B|121 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The vertices of a hyperbola are at (0, 0) and (10, 0) and one of its foci is at (18, 0). The equation of the hyperbola is

The equation of the ellipse whose vertices and foci are (pm 3, 0) and (pm sqrt(5), 0) respectively, is

The coordinates of the foci of a hyperbola are (+- 6, 0) and its latus rectum is of 10 units. Find the equation of the hyperbola.

The equation of hyperbola whose foci and vertices are (0,pm18)and(0,pm9) respectivelty, is :

The eccentricty of an ellipse, the co-ordinates of whose vertices and foci are (pm 4, 0) and (pm sqrt(7), 0) respectively, is

Find the equation of the hyperbola with foci (pm5, 0) and vertices (pm3, 0)

The asymptotes of the hyperbola are 3x=+-5y and its vertices are (pm5,0) then the length of latusrectum of the hyperbola is

AAKASH INSTITUTE-CONIC SECTIONS-Try ypurself
  1. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  2. Find the area of the triangle formed by the lines joining the focus of...

    Text Solution

    |

  3. The given equation of the ellipse is (x^(2))/(81) + (y^(2))/(16) =1. F...

    Text Solution

    |

  4. Find the co-ordinates of the foci, the vertices, the lengths of major ...

    Text Solution

    |

  5. Find the equation of the ellipse whose vetices are (pm6, 0) and foci a...

    Text Solution

    |

  6. Find the equation of ellipse whose vertices are (0,pm13) and foci (0,p...

    Text Solution

    |

  7. Find the equation of th ellipse, the co-ordinates of whose foci are (p...

    Text Solution

    |

  8. Find the equation of an ellipse whose eccentricity is (3)/(5) and co-...

    Text Solution

    |

  9. If the length of the latus rectum of an ellipse with major axis along ...

    Text Solution

    |

  10. The length of the latus rectum of an ellipse with major axis along x-a...

    Text Solution

    |

  11. The eccentricity of the ellipse is (2)/(5) and the distance between th...

    Text Solution

    |

  12. Find the length of the latus rectum of the ellipse if the eccentricity...

    Text Solution

    |

  13. Find the co-ordinates of the foci and the vertices, the eccentricity a...

    Text Solution

    |

  14. For the hyperbola, 3y^(2) - x^(2) = 3. Find the co-ordinates of the fo...

    Text Solution

    |

  15. If the co-ordinates of the foci and vertices of the hyperbola are (pm1...

    Text Solution

    |

  16. Find the equation of the hyperbola with foci : (0, pm sqrt(13)) and ve...

    Text Solution

    |

  17. Find the equation of the hyperbola with foci at (pm7, 0) and length of...

    Text Solution

    |

  18. Find the equation of the hyperbola, the length of whose focal chord, p...

    Text Solution

    |

  19. Find the eccentricity of the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2...

    Text Solution

    |

  20. The hyperbola (y^(2))/(a^(2))-(x^(2))/(b^(2)) =1 passes through the po...

    Text Solution

    |