Home
Class 11
MATHS
For what value of m the hyperbola 3x^(2)...

For what value of m the hyperbola `3x^(2)-my^(2) = 48` will pass through the poin (8,-6) ? Find its eccentricity and the length of latus rectum.

Text Solution

Verified by Experts

The correct Answer is:
m = 4, `e=(sqrt(7))/(2)` and length of latus rectum = 6 unit
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise LONG ANSWER TYPE|10 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|12 Videos

  • HYPERBOLA

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|1 Videos

  • DIAGRAMMATIC REPRESENTATION OF DATA

    CHHAYA PUBLICATION|Exercise EXERCISE (Very short Answer Type Question)|7 Videos

  • MATHEMATICAL INDUCTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams|20 Videos

Similar Questions

Explore conceptually related problems

The parabola x^(2) +2py = 0 passes through the point (4,-2) , find the coordinates of focus and the length of latus rectum .

The parabola y^(2) =- 4ax passes through the point (-1,2) . Find the coordinates of its focus and length of latus rectum.

The parabola y^2=4ax passes through the point (2,-6). Find the length of the latus rectum.

The hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)) = 1 passes through the point (-3,2) and its eccentricity is sqrt((5)/(3)) , find the length of its latus rectum.

The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (-3 , 2) and its eccentricity is sqrt((3)/(5)) , find the length of its latus rectum.

The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (0,-b) and the normal at P passes through the point (2asqrt(2),0) . Then the eccentricity of the hyperbola is

The length of latus rectum of the parabola 3x^(2) =- 8y is _

Find the eccentricity, and the length of latus rectum of the hyperbola x^(2) - y^(2) = 2

Find the equation of the hyperbola, whose axes are axes of coordinates and eccentricity is sqrt((3)/(2)) and the length of semi-latus rectum is 2.

The coordinates of the vertices of a hyperbola are (9,2) and (1,2) and the distance between its two foci is 10. Find its equation and also the length of its latus rectum.

CHHAYA PUBLICATION-HYPERBOLA-SHORT ANSWER TYPE QUESTIONS
  1. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  2. Find the equation of the hyperbola, whose axes are axes of coordinates...

    Text Solution

    |

  3. For what value of m the hyperbola 3x^(2)-my^(2) = 48 will pass through...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equation of the hyperbola whose eccentricity is(5)/(4), foc...

    Text Solution

    |

  8. Find the equation of the hyperbola whose eccentricity is (5)/(4), f...

    Text Solution

    |

  9. Find the equation of the hyperbola whose eccentricity is sqrt(3), fo...

    Text Solution

    |

  10. Find the equation of the hyperbola whose eccentricity is sqrt(2), fo...

    Text Solution

    |

  11. Find the equation of the hyperbola whose eccentricity is sqrt(2), fo...

    Text Solution

    |

  12. Find the equation of the hyperbola whose eccentricity is 3, focus is...

    Text Solution

    |

  13. Find the equation of the hyperbola, referred to its axes as lines para...

    Text Solution

    |

  14. The distance between the vertices of a hyperbola is half the distance ...

    Text Solution

    |

  15. The coordinates of the foci of a hyperbola are (16,0) and (-8,0) and i...

    Text Solution

    |

  16. The centre of a hyperbola is at (2,4), the coordinates of one of its v...

    Text Solution

    |

  17. Find the equation of the hyperbola centre at the origin, transeverse a...

    Text Solution

    |

  18. The lengths of transverse and conjugate axes of a hyperbola are 4 unit...

    Text Solution

    |

  19. e(1) and e(2) are respectively the eccentricites of a hyperbola and it...

    Text Solution

    |

  20. Find the eccentricity of the hyperbola x^(2) - y^(2) = 1. If S, S(1) a...

    Text Solution

    |