Home
Class 12
MATHS
The condition that the slope of one the ...

The condition that the slope of one the lines of `a x^(2)+2 h x y+b y^(2)=0` is twice the other is

A

`h^(2)=a b`

B

`2 h^(2)=3 a b`

C

`8 h^(2)=9 a b`

D

`h^(2)=9 a b`

Text Solution

Verified by Experts

The correct Answer is:
C
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

Find the slope of the line x-y+3=0

Find the slope of the line x -y+ =0

Find the condition that the slope of one of the lines represented by ax^2+2hxy+by^2=0 should be n times the slope of the other .

Find the slope of the line 2x+3y+1=0

Find the slope of the line x/3+y/2=1

If the gradient of one of the lines given by x^(2)+2 h x y+2 y^(2)=0 is twice that of the other, then h=

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

Find the slope of the line 3x-4y-2=0 ?

If the slope of one line is twice the slope of the other in the pair of lines a x^(2)+2 h x y+b y^(2)=0 then 8 h^(2)=

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

HIMALAYA PUBLICATION-Pair Of Lines-QUESTION BANK
  1. The coordinates of the orthocentre of the triangle formed by the lines...

    Text Solution

    |

  2. The area of the triangle formed by the lines x^(2 )+4 x y+y^(2)=0, x+y...

    Text Solution

    |

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

    Text Solution

    |

  4. The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

    Text Solution

    |

  5. Condition that a pair of lines are at right angle is

    Text Solution

    |

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

    Text Solution

    |

  7. The angle between the lines x^(2)+4 x y-y^(2)=0 is

    Text Solution

    |

  8. Acute angle between the lines y^(2)-2 sqrt(3) x y+3 x^(2)=0 is

    Text Solution

    |

  9. If x^(2)+k y^(2)+x-y=0 represents a pair of lines then k=

    Text Solution

    |

  10. Angle between the lines sqrt(3)(x^(2)+y^(2))-4 x y=0 is

    Text Solution

    |

  11. Angle between the lines x^(2)+sqrt(17) x y+2 y^(2)=0 is

    Text Solution

    |

  12. If k x^(2)-y^(2)+2 x-y=0 represents a pair of lines, then k=

    Text Solution

    |

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

    Text Solution

    |

  14. The combined equation of y -axis and the line x-1=0 is

    Text Solution

    |

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

    Text Solution

    |

  16. If the equation x^(2)+y^(2)+2gx+2fy+1=0 represents a pair of lines t...

    Text Solution

    |

  17. Equation of the separate lines of the pair of lines, whose equation is...

    Text Solution

    |

  18. If the slope of one of the lines gives by ax^(2)+2hxy+by^(2)=0 is 5 ti...

    Text Solution

    |

  19. If ax^(2)-y^(2)+4x-y=0 represents a pair of lines then a ...

    Text Solution

    |

  20. The distance between the pair of parallel linesx^(2) + 2xy + y^(2) - 8...

    Text Solution

    |