Home
Class 11
MATHS
Statement 1 : The asymptotes of hyperbol...

Statement 1 : The asymptotes of hyperbolas `3x+4y=2` and `4x-3y=5` are the bisectors of the transvers and conjugate axes of the hyperbolas. Statement 2 : The transverse and conjugate axes of the hyperbolas are the bisectors of the asymptotes.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola whole transverse and conjugate axes are 8 and 6 respectively.

If asymptotes of hyperbola bisect the angles between the transverse axis and conjugate axis of hyperbola, then what is eccentricity of hyperbola?

Find the asymptotes of the hyperbola 4x^(2)-9y^(2)=36

The asymptotes of the hyperbola 6x^(2) +13xy +6y^(2) -7x -8y-26 =0 are

The transverse axis of the hyperbola 5x^2-4y^2-30x-8y+121=0 is

Find the length of transverse axis of the hyperbola 4x^(2) - 3y^(2) = 24 .

The equation of the transverse and conugate axes of a hyperbola are respectively 3x+4y-7=0 and 4x-3y+8=0 and their respective lengths are 4 and 6. Find the equation of the hyperbola.

The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0 , is

Find the equation of the hyperbola whose eccentricity is sqrt(2) and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as x and y-axes respectively.

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  2. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  3. Statement 1 : The asymptotes of hyperbolas 3x+4y=2 and 4x-3y=5 are the...

    Text Solution

    |

  4. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  5. Find the value of m for which y=m x+6 is tangent to the hyperbola (x^2...

    Text Solution

    |

  6. If a hyperbola passes through the foci of the ellipse (x^2)/(25)+(y^2)...

    Text Solution

    |

  7. One the x-y plane, the eccentricity of an ellipse is fixed (in size a...

    Text Solution

    |

  8. Find the equation of tangent to the conic x^2-y^2-8x+2y+11=0 at (2,1)

    Text Solution

    |

  9. Statement 1 : A bullet is fired and it hits a target. An observer i...

    Text Solution

    |

  10. The equation of one directrix of a hyperbola is 2x+y=1, the correspond...

    Text Solution

    |

  11. The distance of a point on the ellipse (x^2)/6+(y^2)/2=1 from the cent...

    Text Solution

    |

  12. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |

  13. If it is posssible to draw the tangent to the hyperbola (x^(2))/(a^(2)...

    Text Solution

    |

  14. The set of values of m for which it is possible to draw the chord y=sq...

    Text Solution

    |

  15. Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with ve...

    Text Solution

    |

  16. Find the equations of the tangents to the hyperbola x^2-9y^2=9 that ar...

    Text Solution

    |

  17. Let aa n db be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  18. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  19. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  20. A parabola is drawn with focus at one of the foci of the ellipse (x^2)...

    Text Solution

    |