Home
Class 12
MATHS
Find the equation of the hyperbola whose...

Find the equation of the hyperbola whose asymptotes are the straight lines 3x-4y+7=0 and 4x+3y+1=0 and which pass-through the origin.

Text Solution

Verified by Experts

The correct Answer is:
`12x^(2)-7xy-12y^(2)+31x+17y=0`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -I|47 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -II|42 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise -5.3 (Short Answer Questions)|2 Videos

  • EXPONENTIAL SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|167 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the hyperbola, whose asymptotes are the straight line (x+2y+3)=0, (3x+4y+5) =0 and which passes through the point (1,-1).

Find the equation of the hyperbola whose asymptotes are x+2y+3=0 and 3x+4y+5=0 and which passes through (1,-1).

Find the equation of the hyperbola whose asymptotes are 3x=+5y and the vartices are (+-5,0) .

The equation of the hyperbola whose asymptotes are 3x+4y -2=0,2x+y+1=0 and which passes through the point (1,1)is

The equation of the hyperbola whose asymptotes are 3x+4y-2=0, 2x+y+1=0 and which passes through the point (1, 1) is

Find the asymptotes of the hyperbola xy-3y-2x=0

AAKASH SERIES-HYPERBOLA-Additional Exercise
  1. Prove that the locus of the mid -points of the chords of the circle x^...

    Text Solution

    |

  2. Find the asymptodes of the hyperbola 2x^(2)+5xy+2y^(2)-11x-7y-4=0

    Text Solution

    |

  3. Find the equation of the hyperbola whose asymptotes are the straight l...

    Text Solution

    |

  4. The equation of the line passing throught the centre of a rectangular ...

    Text Solution

    |

  5. A normal to the hyperbola x^(2)//a^(2) -y^(2)//b^(2) =1 cuts the axes...

    Text Solution

    |

  6. Let P (a sec theta, b tan theta) and Q (a sec phi, b tan theta) where ...

    Text Solution

    |

  7. Prove that the locus of the point of intersection of tangents at the e...

    Text Solution

    |

  8. Prove that the portion of the tangent of the rectangular hyperbola int...

    Text Solution

    |

  9. If the hyperbola xy=c^(2) intersects the circle x^(2)+y^(2)=a^(2)" is ...

    Text Solution

    |

  10. Let P (a sec theta, b tan theta) and Q (a sec phi, b tan theta) where ...

    Text Solution

    |

  11. If x=9 is the chord of contact of tangents of x^(2)-y^(2)=9, then show...

    Text Solution

    |

  12. Show that the equationi of the rectanglar hyperbola whose focus is (1,...

    Text Solution

    |

  13. The hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 has its conjugate axis 5 and p...

    Text Solution

    |

  14. Tangents are drawn from points on the hyperbola x^(2)/9-y^(2)/4=1 to t...

    Text Solution

    |

  15. If a hyperbola passes through a focus of the ellipse and it transverse...

    Text Solution

    |

  16. A hyperbola having the transverse axis of length 2 sin theta, is confo...

    Text Solution

    |

  17. An ellipse has eccentricity 1/2 and the focus at the point P(1/2,1). I...

    Text Solution

    |

  18. The locus represented by x=(a)/(2)(t+(1)/(t)),y=(a)/(2)(t-(1)/(t)) i...

    Text Solution

    |

  19. If the normal at (x(i) y(i)) i=1,2,3,4 on xy=c^2 meet at the point (al...

    Text Solution

    |

  20. Given the base BC of the triangle ABC and if angleC-angleB=k, a consta...

    Text Solution

    |