Home
Class 12
MATHS
If 4ab=3h^(2), then the ratio of the slo...

If `4ab=3h^(2)`, then the ratio of the slopes of the lines represented by `ax^(2)+2hxy+by^(2)=0` is

A

`sqrt(3):1`

B

`sqrt(2):1`

C

`1:3`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos
  • PLANE

    NIKITA PUBLICATION|Exercise MULTIOLE CHOICE QUESTIONS|154 Videos

Similar Questions

Explore conceptually related problems

If 4ab=3h^(2), then the ratio of the slopes of the lines represented by the equation ax^(2)+2hxy+by^(2)=0 will be (A) sqrt(2):1 (B) sqrt(3):1 (C) 2:1 (D) 1:3

The ratio of the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 is 2:3 , then h^(2):ab=

If 3h^(2)=4ab , then the ratio of the slopes of the lines ax^(2)+2hxy+by^(2)=0 is

if h^2=ab , then the lines represented by ax^2+2hxy+by^2=0 are

If m_1 and m_2 are the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 , then m_1m_2=

If m_1 and m_2 are the slopes of the lines represented by ax^(2)+2hxy+by^(2)=0 , then m_1+m_2=

If one of the lines represented by the equation ax^(2)+2hxy+by^(2)=0 be y=mx then

The image of the pair of lines represented by ax^(2)+2hxy+by^(2)=0 by the line mirror y=0 is

NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. The difference of the slopes of the lines represented by x^2 (sec^2the...

    Text Solution

    |

  2. If two lines represented by x^2(tan^2theta+cos^2theta)-2xytantheta+y^2...

    Text Solution

    |

  3. If 4ab=3h^(2), then the ratio of the slopes of the lines represented b...

    Text Solution

    |

  4. The ratio of the slopes of the lines represented by ax^(2)+2hxy+by^(2)...

    Text Solution

    |

  5. If the slope of one of the lines represented by ax^(2)+2hxy+by^(2)=0 ...

    Text Solution

    |

  6. If the slope of one of the lines given by 3x^(2)-4xy+ky^(2)=0 is 1, th...

    Text Solution

    |

  7. If the slope of one of the line given by 2px^(2)-16xy+qy^(2)=0 is 2, t...

    Text Solution

    |

  8. If 2x+y=0 is one of the lines given by 3x^(2)+kxy+2y^(2)=0, then k=

    Text Solution

    |

  9. Find k, if one of the lines given by 6x^(2) + kxy + y^(2) = 0 is 2x + ...

    Text Solution

    |

  10. If one of the lines given by 6x^2-xy+4cy^2=0 is 3x+4y=0 ,then value of...

    Text Solution

    |

  11. If the line x+2=0 coincides with one of the lines represented by x^(2)...

    Text Solution

    |

  12. If the line 3x-2y=0 coincide with one of the lines given by ax^(2)+2hx...

    Text Solution

    |

  13. If the line 4x+5y=0 coincide with one of the lines given by ax^(2)+2hx...

    Text Solution

    |

  14. If the line 4x-5y=0 coincide with one of the lines given by ax^(2)+2hx...

    Text Solution

    |

  15. If one of the lines given by kx^(2)-5xy-3y^(2)=0 is perpendicular to t...

    Text Solution

    |

  16. If one of the lines given by 3x^(2)-kxy+5y^(2)=0 is perpendicular to t...

    Text Solution

    |

  17. If one of the lines given by ax^2+2hxy+by^2=0 is perpendicular to px+...

    Text Solution

    |

  18. If the line 3x+y=0 is perpendicular to one of the lines represented by...

    Text Solution

    |

  19. If two lines ax^(2)+2hxy+by^(2)=0 make equal angles with a co-ordinate...

    Text Solution

    |

  20. If the line given by ax^(2)+2hxy+by^(2)=0 are equally inclined to the ...

    Text Solution

    |