Home
Class 11
MATHS
Show that the equation of the pair of li...

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines `ax^(2)+2hxy+by^(2)=0` is `(a-b)(x^(2)-y^(2))+4hxy=0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

Show that the equation of the pair of lines bisecting the angles between the pair of bisectors of the angles between the pair of lines a x^2+2h x y+b y^2=0 is (a-b)(x^2-y^2)+4h x y=0.

The lines y = mx bisects the angle between the lines ax^(2) +2hxy +by^(2) = 0 if

The line y=sqrt(3)x bisects the angle between the lines ax^(2)+2axy+y^(2)=0 if a is equal to

The angle between the lines y=0 and ax+by +c=0 is -

The equation of the bisector of the acute angle between the lines 2x-y+4=0 and x-2y=1 is

If one of the pair of lines ax^2+2hxy+by^2=0 bisects the angle between positive directions of the axes, a, b, h satisfy the relation

The angle between the pair of lines whose equation is 4x^(2)+10xy+my^(2)+5x+10y=0 , is

Find the equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12 x+5y-2=0.

Find the angle between the pair of tangents from the point (1,2) to the ellipse 3x^2+2y^2=5.

Find the equation-of the bisector of the obtused angle between the straight lines x-2y+4=0 and 4x-3y+2=0.

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

    Text Solution

    |

  2. Show that the pairs of straight lines 2x^(2)+6xy+y^(2)=0 and 4x^(2)18x...

    Text Solution

    |

  3. Show that the equation of the pair of lines bisecting the angles betwe...

    Text Solution

    |

  4. Find the angle between the straight lines joining the origin to the po...

    Text Solution

    |

  5. Through a point A on the x-axis, a straight line is drawn parallel to ...

    Text Solution

    |

  6. Find the equation of two straigh lines whose combined equation is 6x^(...

    Text Solution

    |

  7. Does equation x^(2)+2y^(2)-2sqrt(3)x-4y+5=0 satisfies the condition ...

    Text Solution

    |

  8. Find the value of lambdaif2x^2+7x y+3y^2+8x+14 y+lambda=0 represent a ...

    Text Solution

    |

  9. Find the distance between the pair of parallel lines x^(2)+4xy+4...

    Text Solution

    |

  10. If the pair of lines ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 intersect on the ...

    Text Solution

    |

  11. Find the equation of two straigh lines whose combined equation is 6x^(...

    Text Solution

    |

  12. If the component lines whose combined equation is px^(2)-qxy-y^(2)=0 m...

    Text Solution

    |

  13. Find the joint equation of pair of lines which passes through origin a...

    Text Solution

    |

  14. If the sum of the slopes of the lines given by x^(2)-2cxy-7y^(2)=0 is...

    Text Solution

    |

  15. The distance between the two lines represented by the equation 9x^2-2...

    Text Solution

    |

  16. The gradient of one of the lines ax^2+2hxy+by^2=0 is twice that of the...

    Text Solution

    |

  17. If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of th...

    Text Solution

    |

  18. Two pairs of straight lines have the equations y^2+x y-12 x^2=0 and a ...

    Text Solution

    |

  19. If the equation of the pair of straight lines passing through the poin...

    Text Solution

    |

  20. If one of the lines given by the equation 2x^(2)+pxy+3y^(2)=0 coincide...

    Text Solution

    |