Home
Class 11
MATHS
Find the condition by which the bisector...

Find the condition by which the bisectors of the lines `x^2-2pxy-y^2=0` be `x^2-2qxy-y^2=0`.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|115 Videos

  • TRANSFORMATION FORMULAE

    PATHFINDER|Exercise QUESTION BANK|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a line through the intersection of the lines 2x+3y-2=0 and x-2y+1=0 and having x-intercept equal to 3.

Find the distance between the pair of parallel lines x^2+4x y+4y^2+3x+6y-4=0

Find the condition if the circle whose equations are x^2+y^2+c^2=2a x and x^2+y^2+c^2-2b y=0 touch one another externally.

Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and x^2+y^2-4x-2y-6=0

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

Find the coordinates of the centroid of the triangle, formed by the lines x+2y-5=0, y+2x-7=0 and x-y+1=0 .

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 obtuse angle between the lines x-y+2=0 and (2-sqrt(3))x-y+1=0 .

PATHFINDER-STRAIGHT LINE-QUESTION BANK
  1. The line x/a-y/b=1 cuts the x-axis at P. Find the equation of the line...

    Text Solution

    |

  2. Find the value of lambda for which the lines 3x+4y=5,5x+4y=4 and lambd...

    Text Solution

    |

  3. If sum of the slopes of the lines x^2+kxy-3y^2=0 is twice the product ...

    Text Solution

    |

  4. Find the condition for which the lines joining the origin to the point...

    Text Solution

    |

  5. Find the condition by which the bisectors of the lines x^2-2pxy-y^2=0 ...

    Text Solution

    |

  6. Find the equation of the line passing through (1,1) and parallel to th...

    Text Solution

    |

  7. Find the equation of the line passing through the point (2,3) and bot ...

    Text Solution

    |

  8. Find the number of lines that are parallel to 2x+6y-7=0 and have an in...

    Text Solution

    |

  9. If the lines 4x+3y=1,y=x+5 and 5y+bx=3 are concurrent, then find the v...

    Text Solution

    |

  10. A straight line is such that the portion of it intercepted between the...

    Text Solution

    |

  11. A straight line passes through (1,1) and portion of the line intercept...

    Text Solution

    |

  12. If p is the length of perpendicular from the origin to the line whose ...

    Text Solution

    |

  13. Find the angle between the lines joining the points (0,0) (2,3) and (2...

    Text Solution

    |

  14. Find the equation of the line which has y-intercept 4 units and is par...

    Text Solution

    |

  15. Prove that the lines 2x-3y-7=0,3x-4y-13=0 and 8x-11y-33=0 are concurre...

    Text Solution

    |

  16. Find the distance between the lines 9x+40y-20=0 and 9x+40y+103=0.

    Text Solution

    |

  17. Find the equation of a line through the intersection of the lines 2x+3...

    Text Solution

    |

  18. A straight line drawn through the point P(sqrt3,2) making angle of 30^...

    Text Solution

    |

  19. If A (11,9) and B(5,7) are two points on a line. Find the coordinates ...

    Text Solution

    |

  20. Find the equation-of the bisector of the obtused angle between the st...

    Text Solution

    |