Home
Class 12
MATHS
Prove that the bisectors of the between ...

Prove that the bisectors of the between the lines `ax^2+acxy+cy^2=0` and `(3+1/c)x^2+xy+(3+1/a)y^2=0` are always the same .

Promotional Banner

Topper's Solved these Questions

  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

The equation of the bisectors of angle between the lines x^(2)-4xy+y^(2)=0 is

The number of values of lambda for which the bisectors of the angle between the lines ax^(2)+2hxy+by^(2)+lambda(x^(2)+y^(2))=0 are the same as those of ax^(2)+2hxy+by^(2)=0 is

Find the equation of the bisectors of the angle between the lines represented by 3x^2-5xy+4y^2=0

If the equation of the pair of bisectors of the angle between the pair of lines 3x^(2)+xy+by^(2)=0 is x^(2)-14xy-y^(2)=0 then the value of b is

The equation of the bisector of the obtuse angle between the lines x-y+2=0 , 7x+y+1=0 is

The equation of the bisectors of the angle between the two straight lines 2x^(2)3xy+y^(2)=0 is

If the bisectors of angles represented by ax^(2)+2hxy+by^(2)=0 and a'x^(2)+2h'xy+b'y^(2)=0 is same , then

One of the bisector of the angle between the lines a(x-1)^2 + 2h(x-1)(y-2) + b (y-2)^2 = 0 is x + 2y - 5 = 0 . Then other bisector is (A) 2x-y=0 (B) 2x+y=0 (C) 2x+y-4=0 (D) x-2y+3=0

A DAS GUPTA-Pair of Straight Lines and Transformation of Axes-EXERCISE
  1. Prove that the bisectors of the between the lines ax^2+acxy+cy^2=0 and...

    Text Solution

    |

  2. If the pairs of lines ax^2+2hxy+by^2=0 and a'x^2+2h'xy+b'y^2=0 have on...

    Text Solution

    |

  3. Find the condition that the one of the lines given by ax^2+2hxy+by^2=0...

    Text Solution

    |

  4. Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=...

    Text Solution

    |

  5. A pair of perpendicular straight lines is drawn through the origin ...

    Text Solution

    |

  6. Show that the centroid (x',y') of the triangle with sides ax^2+2hxy+by...

    Text Solution

    |

  7. If the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the...

    Text Solution

    |

  8. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

    Text Solution

    |

  9. Find the combined equation of the straight lines passing through the p...

    Text Solution

    |

  10. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 resents a pair ...

    Text Solution

    |

  11. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |

  12. The new equation of the curve 4(x-2y+1)^2+9(2x+y+2)^2 =25, if the lin...

    Text Solution

    |

  13. The acute angle between the lines given by x^(2)+2(cosectheta)xy+y^(2)...

    Text Solution

    |

  14. The difference of the slopes of the lines given by the equation x^2(se...

    Text Solution

    |

  15. If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy -y^2...

    Text Solution

    |

  16. The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

    Text Solution

    |

  17. The number of values of lambda for which the bisectors of the angle b...

    Text Solution

    |

  18. If one of the lines of ax^(2)+2hxy+by^(2)=0 bisects the angle between ...

    Text Solution

    |

  19. The equation (x+y+1)^2+k(x^2+y^2+1)=0 represents two straight lines th...

    Text Solution

    |

  20. The equation 4x^(2)-24xy+11y^(2)=0 represents

    Text Solution

    |