Home
Class 12
MATHS
If the angle between the lines given by ...

If the angle between the lines given by `ax^(2)+2hxy+by^(2)=0` is equal to the angle between lines given by `2x^(2)-5xy+3y^(2)=0`, then

A

`100(h^(2)-ab)=(a+b)^(2)`

B

`100(h^(2)-ab)=(a-b)^(2)`

C

`25(h^(2)-ab)=(a+b)^(2)`

D

`25(h^(2)-ab)=(a-b)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 the angle between the lines represented by ax^(2) + 2hxy + by^(2) = 0 is equal to the angle between the lines 2x^(2) - 5xy + 3y^(2) = 0 , then show that 100(h^(2)-ab) = (a+b)^(2) .

If the angle between the lines given by 6x^(2)+xy+ky^(2)=0 is 45^(@) , then k=

If the angle between the lines given by (tan^(2)A)x^(2)-kxy-y^(2)=0 is 2A, then k=

The acute angle between the lines given by x^(2)+2(cottheta)xy+y^(2)=0 is

If the angle between the lines ax^(2)+xy+by^(2)=0 is 45^(@) , then

If the acute angle between the lines ax^(2)+2hxy+by^(2)=0 is congruent to the acute angle between the lines 3x^(2)-7xy+4y^(2)=0 , then

The acute angle between the lines given by x^(2)+2(cosectheta)xy+y^(2)=0 is

The angle between the lines represented by sqrt(3)xy-y^(2)=0 is

If one of the lines given by ax^(2)+2hxy+by^(2)=0 is 4x-5y=0 then

Measure of angle between lines 3x^(2)-8xy-3y^(2)=0 is

NIKITA PUBLICATION-PAIR OF STRAIGHT LINES-MULTIPLE CHOICE QUESTIONS
  1. If the angle between the lines given by x^(2)-2kxy+y^(2)=0 is 60^(@), ...

    Text Solution

    |

  2. If theta1 and theta2 are the acute angle between the lines given by 3x...

    Text Solution

    |

  3. If the angle between the lines given by ax^(2)+2hxy+by^(2)=0 is equal ...

    Text Solution

    |

  4. If the acute angle between the lines ax^(2)+2hxy+by^(2)=0 is congruent...

    Text Solution

    |

  5. If x^2+2h x y+y^2=0 represents the equation of the straight lines thro...

    Text Solution

    |

  6. The joint equation of pair of lines passing through the origin and mak...

    Text Solution

    |

  7. The equation of the pair of straight lines, each of which makes an ang...

    Text Solution

    |

  8. The joint equation of pair of lines passing through the origin and mak...

    Text Solution

    |

  9. The joint equation of pair of lines through the origin and making an a...

    Text Solution

    |

  10. Find the joint equaiton of the pair of the lines through the origin ea...

    Text Solution

    |

  11. Joint equation of two lines through the origin each making angle of 60...

    Text Solution

    |

  12. Joint equation of two lines, through the origin, each making an angle ...

    Text Solution

    |

  13. Find the joint equation of the pair of lines through the origin and ma...

    Text Solution

    |

  14. Find the joint equation of the pair of lines through the origin and ma...

    Text Solution

    |

  15. The joint equation of pair of lines through the origin and making an e...

    Text Solution

    |

  16. The joint equation of pair of lines through the origin and making an e...

    Text Solution

    |

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

    Text Solution

    |

  18. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

    Text Solution

    |

  19. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

    Text Solution

    |

  20. The line x + y = sqrt6, forms an equilateral triangle with the lines x...

    Text Solution

    |