Home
Class 12
MATHS
The conjugate axis of the hyperbola x^2/...

The conjugate axis of the hyperbola `x^2/a^2+y^2/b^2=1` meets the hyperbola at two points which are at distance 2b from each other.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|76 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

Similar Questions

Explore conceptually related problems

The conjugate axis of the hyperbola (y-3)^2/9+(x+2)^2/3=1 is parallel to the line x=4.

The y-axis is tangent to the hyperbola ay^2-bx^2=1 .

The equation of the conjugate axis of the hyperbola x^2/9-(y+2)^2/16=1 is _____

The latus rectum of the hyperbola x^2/9-y^2/16=1 is _____.

The hyperbola y^2/16-x^2/12=1 intersects x-axis at _____.

The line y=3x-k is a tangent to the hyperbola 6x^2-9y^2=1 if k=_____.

Find the equation of tangent and normal to the hyperbola x^2-6y^2=3 at the point (-3, -1).

Prove that the line x + y + 2 = 0 touches the hyperbola 3x^2 - 5y^2 = 30 and find the point of contact. Find also the equation of normal at the point.

Find the equation of tangents to hyperbola 9x^2-16y^2=144 which are perpendicular to the line 2x + 3y = 4.

Find the equation of the tangent to the hyperbola 4x^2-11y^2=1 which are parallel to the straight line 20x - 33y = 13.

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. Mention the statement true or False. The length of the latera recta of...

    Text Solution

    |

  2. The line y=x+2 is a tangent to the ellipse x^2/2+y^2/1=1

    Text Solution

    |

  3. The conjugate axis of the hyperbola x^2/a^2+y^2/b^2=1 meets the hyperb...

    Text Solution

    |

  4. The conjugate axis of the hyperbola (y-3)^2/9+(x+2)^2/3=1 is parallel ...

    Text Solution

    |

  5. The length of the transverse axis of the hyperbola with focii at (+-5,...

    Text Solution

    |

  6. The latus rectum of the ellipse x^2/25-y^2/16=1 are same .

    Text Solution

    |

  7. The y-axis is tangent to the hyperbola ay^2-bx^2=1.

    Text Solution

    |

  8. Find the equation of the parabola in each of the following cases: at t...

    Text Solution

    |

  9. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  10. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  11. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  12. Find the equation of the parabola in each of the following cases:The l...

    Text Solution

    |

  13. Find the equation of the parabola in each of the following cases:The v...

    Text Solution

    |

  14. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  15. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  16. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  17. Find the equation of the parabola in each of the following cases: vert...

    Text Solution

    |

  18. Find the equation of the parabola in each of the following cases:verte...

    Text Solution

    |

  19. Find the equation of the parabola in each of the following cases: the ...

    Text Solution

    |

  20. Find the equation of the ellipse in each of the following cases:centre...

    Text Solution

    |