Home
Class 12
MATHS
If one of the lines ax^(2)+2hxy+by^(2)=...

If one of the lines `ax^(2)+2hxy+by^(2)=0` bisects the angle between the aaxes in the first quadrant then

A

`h^(2)-a b=0`

B

`h^(2)+a b=0`

C

`(a+b)^(2)=h^(2)`

D

`(a+b)^(2)=4 h^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|251 Videos
  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos

Similar Questions

Explore conceptually related problems

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

If one of the lines of the pair a x^(2)+2 h x y+b y^(2)=0 bisects the angle between positive directions of the axes, then a, b, h satisfy the relation

If one of the lines of my^(2)+(1-m^(2))xy-mx^(2)=0 is a bisector of the angle between the lines xy=0 then m is

The slope of one of the lines 2 x^(2)+3 x y+lambda y^(2)=0 is 2, then the angle between the lines is

Angle between the lines 2x^(2)-7xy +3y^(2)=0 is

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

If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 times the other, then

The pair of Lines h(x^(2)-y^(2))+p x y=0 bisects the angle between the pair a x^(2)+2 h x y+b y^(2)=0 then the value of p is

If the pairs of lines x^(2)-2pxy-y^(2)=0 and x^(2)-2qxy-y^(2)=0 be such that each pair bisects the angle between the other pair then

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The distance between the pair of parallel lines 8 x^(2)+8 x y+2 y^(2)...

    Text Solution

    |

  2. The equation to the pair of lines through the origin and perpendicular...

    Text Solution

    |

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

    Text Solution

    |

  4. The condition that the slope of one the lines of a x^(2)+2 h x y+b y^...

    Text Solution

    |

  5. The slope of one of the lines 2 x^(2)+3 x y+lambda y^(2)=0 is 2, then...

    Text Solution

    |

  6. If the pair of lines x y-x-y+1=0 and the line a x+2 y-3=0 are concurr...

    Text Solution

    |

  7. The equation a x^(2)+b y^(2)+c x+c y=0, c ne 0 represents a pair of l...

    Text Solution

    |

  8. If x^(2)-k x y-y^(2)+2 y+2=0 represents a pair of lines than the valu...

    Text Solution

    |

  9. The equation to the pair of lines passing through (1,-1) and parallel ...

    Text Solution

    |

  10. The equation 9 x^(2)+24 x y+b^2 y^(2)-12 x+16 y-12=0 represents a pai...

    Text Solution

    |

  11. Distance between the pair of lines represented by the equation x^(2)-...

    Text Solution

    |

  12. The join of (-3,2) and (4,6) is cut by x -axis in the ratio

    Text Solution

    |

  13. The sum of the slopes of the lines represented by 4x^(2)+2hxy-7y^(2)=0...

    Text Solution

    |

  14. If one of the pair of lines represented by a x^(2)+2 h x y+b y^(2)=0 i...

    Text Solution

    |

  15. If one of the pair of lines represented by 6 x^(2)+2 h x y-3 y^(2)=0 i...

    Text Solution

    |

  16. The angle between the pari of lines represented by x^(2)-7xy+12y^(2)...

    Text Solution

    |

  17. The distance between the parallel lines given by (x+7y)^(2)+4sqrt(2...

    Text Solution

    |

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

    Text Solution

    |

  19. If the pair of lines a x^(2)+2 h x y-a y^(2)=0 and b x^(2)+2 g x y-b y...

    Text Solution

    |

  20. If the pairs of lines 3x^(2)-2pxy-3y^(2)=0 and 5x^(2)-2qxy-5y^(2)=0...

    Text Solution

    |