Home
Class 11
MATHS
Find the equation of the hyperbola where...

Find the equation of the hyperbola where foci are `(0,+-12)` and the length of the latus rectum is `36`.

Text Solution

Verified by Experts

The correct Answer is:
`3y^(2) - x^(2) = 100`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|22 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise LATEST EXAM MCQS|4 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola with foci (0,+-3) and vertices (0,+-(sqrt(11))/(2))

In each of the find the equations of the hyperbola satisfying the given conditions. Foci (+-4,0) , the latus rectum is of length 12 .

Find the equation of the hyperbola with eccentricity (3)/(2) and foci at (pm 2, 0) .

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=12x .

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=-16y

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=-9y

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. x^(2)=6y

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=-8x

In each of the following find the coordinates of the focus , axis of the parabola , the equation of the directrix and the length of the latus rectum. y^(2)=10x

In each of the find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. 5y^(2)-9x^(2)=36

KUMAR PRAKASHAN-CONIC SECTIONS-TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Find the equation of the circle with centre at (0,0) and radius r.

    Text Solution

    |

  2. Find the equation of the circle with centre (-3,2) and radius 4.

    Text Solution

    |

  3. Find the centre and the radius of the circle x^(2)+y^(2)+8x+10y-8=0.

    Text Solution

    |

  4. Find the equation of the circle which passes through the point (2,-2),...

    Text Solution

    |

  5. Find the coordinates of the focus , axis, the question of the directri...

    Text Solution

    |

  6. Find the equation of the parabola with focus (2,0) and directrix x=-2.

    Text Solution

    |

  7. Find the equation of the parabola with vertex at (0,0) and focus at (0...

    Text Solution

    |

  8. Find the equation of the parabola which is symmetric about y-axis, and...

    Text Solution

    |

  9. Find the coordinates of the foci, the vertices, the length of major ax...

    Text Solution

    |

  10. Find the coordinates of the foci, the vertices, the lengths of major a...

    Text Solution

    |

  11. Find the equation of the ellipse whose vertices are (+-13,0) and foci ...

    Text Solution

    |

  12. Find the equation of the ellipse, whose length of the major axis is 20...

    Text Solution

    |

  13. Find the equation of the ellipse, with major axis along the x-axis and...

    Text Solution

    |

  14. Find the corrdinates of the foci and the vertices, the eccentricity, t...

    Text Solution

    |

  15. Find the equation of the hyperbola with foci (0,+-3) and vertices (0,+...

    Text Solution

    |

  16. Find the equation of the hyperbola where foci are (0,+-12) and the len...

    Text Solution

    |

  17. The focus of a parabolic mirror as shown in Fig. is at a distance of 5...

    Text Solution

    |

  18. A beam is supported at its ends by supports which are 12 metres apart....

    Text Solution

    |

  19. A rod AB of length 15 cm rests in between two coordinate axes is such ...

    Text Solution

    |