Home
Class 11
MATHS
If the lines represented by x^(2)-2pxy-y...

If the lines represented by `x^(2)-2pxy-y^(2)=0` are rotated about the origin through an angle `theta`, one clockwise direction and other in anti-clockwise direction, then the equation of the bisectors of the angle between the lines in the new position is

A

px^2 +2xy-py^2 = 0

B

px^2+2xy+py^2=0

C

x^2-2pxy+y^2=0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|3 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The equations of bisectors of the angles between the lines |x|=|y| are

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

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

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y^2-x^2+2sqrt(3)x+3=0 (2) y^2-x^2+2sqrt(3)x-3=0 (3) y^2-x^2-2sqrt(3)x+3=0 (4) y^2-x^2+3=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is y^2-x^2+2sqrt(3)x+3=0 y^2-x^2+2sqrt(3)x-3=0 y^2-x^2-2sqrt(3)x+3=0 y^2-x^2+3=0

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

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

The angle between the lines represented by x^(2)-y^(2)=0 is

The lines bisecting the angle between the bisectors of the angles between the lines ax^(2)+2hxy+by^(2)=0 are given by

OBJECTIVE RD SHARMA ENGLISH-PAIR OF STRAIGHT LINES-Exercise
  1. If theta is the angle between the lines given by the equation 6x^2+5x ...

    Text Solution

    |

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

    Text Solution

    |

  3. If the lines represented by x^(2)-2pxy-y^(2)=0 are rotated about the o...

    Text Solution

    |

  4. The difference of the tangents of the angles which the lines x^(2)(sec...

    Text Solution

    |

  5. If the two pairs of line x^2 -2mxy -y^2=0 and x^2 - 2nxy -y^2 = 0 are ...

    Text Solution

    |

  6. Consider the equation of a pair of straight lines as lambda^(2)-10xy+1...

    Text Solution

    |

  7. The equation y^(2)-x^(2)+2x-1=0, represents

    Text Solution

    |

  8. The angle between the straight lines x^(2)-y^(2)-2x-1=0, is

    Text Solution

    |

  9. If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y...

    Text Solution

    |

  10. The diagonal of the rectangle formed by the lines x^2-7x +6= 0 and y^2...

    Text Solution

    |

  11. The angle between the pair of straight lines 2x^2+5xy+2y^2+3x+3y+1=0 i...

    Text Solution

    |

  12. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

  13. Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 , ...

    Text Solution

    |

  14. The joint equation of the straight lines x+y=1 and x-y=4, is

    Text Solution

    |

  15. If the slope of one of the lines given by ax^(2)-6xy+y^(2)=0 is square...

    Text Solution

    |

  16. The value of k such that 3x^(2)-11xy+10y^(2)-7x+13y+k=0 may repres...

    Text Solution

    |

  17. If x^(2)-kxy+y^(2)+2y+2=0 denotes a pair of straight lines then k =

    Text Solution

    |

  18. The equations of a line which is parallel to the line common to the p...

    Text Solution

    |

  19. If the slope of one of the lines given by 36x^(2)+2hxy+72y^(2)=0 is fo...

    Text Solution

    |

  20. The combined equation of the pair of the straight lines through the po...

    Text Solution

    |