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

Find the equation of the hyperbola with vertices at `(0, +- 6)` and eccentricity `5/3`.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(36) - (y^(2))/(64)` = 1
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.1)|15 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise NCERT-FILE (EXERCISE 11.2)|12 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Find the equaiton of the hyperbola with vertices at (0, +- 6) and eccentricity 5/3 .

The equation of the hyperbola with vertices at (0, pm 6) and eccentricity 5/3 is….. And its foci are …….

Find the equation of the hyperbola whose vertices are (0,+-3) and the eccentricity is (4)/(3) ,Also find the coordinates of its foci .

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

The equation of the hyperbola with verticles (0, pm7) and eccentricity =(9)/(7) is

Find the equation of the hyperbola with vertices at (+- 6,0) and foci at (+-8,0).

Find the equation of the hyperbola whose vertices are (+-7,0) and the eccentricity is (4)/(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 foaci are (0, 5) and (-2, 5) and eccentricity 3.

Find the equation of the hyperbola whose vertices are (+- 7, 0) and e= 4/3 .

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS)
  1. Determine whether the following represents a circle , a point or no ci...

    Text Solution

    |

  2. Find the equation of circle whose centre is (1/2, 1/2) and radius is 1...

    Text Solution

    |

  3. Find the parametric equation of the circles : x^2 + y^2 + 2x - 4y - 1 ...

    Text Solution

    |

  4. Show that the point (x, y), where x=a+r cos theta, y = b + r sin theta...

    Text Solution

    |

  5. Find the equation of the circle when the end points of a diameter of t...

    Text Solution

    |

  6. The equation of the parabola with vertex at the origin passing through...

    Text Solution

    |

  7. Find the equation of the parabola with focus at (3, -4) and directrix ...

    Text Solution

    |

  8. Find the lengths of major and minor axes of the ellipse : (x^(2))/(4...

    Text Solution

    |

  9. Find the lengths of the major and the minor axes, the coordinates of t...

    Text Solution

    |

  10. Find the length of the latus -rectum of the ellipse : (x^(2))/(4) + ...

    Text Solution

    |

  11. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  12. Find the equation of the ellipse in the following case: eccentricity e...

    Text Solution

    |

  13. Find the eccentricity of an ellipse if its latus rectum is equal to on...

    Text Solution

    |

  14. The eccentricity of the ellipse if the distance between the foc...

    Text Solution

    |

  15. Find the equation of the ellipse whose major axis is 8 and eccentricit...

    Text Solution

    |

  16. Find the equation of the hyperbola having : vertices (0, +-3) and foci...

    Text Solution

    |

  17. Find the equation of the hyperbola with focus at (pm 2, 0) and e = (3...

    Text Solution

    |

  18. Find the equation of the hyperbola with vertices at (0, +- 6) and ecce...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |