Home
Class 11
MATHS
Show that the equation 4x^(2)+4xy+y^(2)-...

Show that the equation `4x^(2)+4xy+y^(2)-6x-3y-4=0` represents a pair of parallel lines. Find the distance between them.

Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE (6.5)|25 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (ANSWER THE FOLLOWING QUESTIONS)|13 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE (6.3)|24 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise CHOOSE THE CORRECT ANSWER|62 Videos

  • Vector Algebra -I

    PREMIERS PUBLISHERS|Exercise Choose Correct Option|38 Videos

Similar Questions

Explore conceptually related problems

Show that the equation 9x^(2)-24xy+16y^(2)-12x+16y-12=0 represents a pair of parallel lines. Find the distance between them.

Show that 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of parallel lines.

Show that 9x^2+24xy+16y^2+21x + 28y+ 6 =0 represents a pair of parallel straight lines and find the distance between them .

Show that the equations 2x^(2)-xy-3y^(2)-6x+19y-20=0 represents a pair of intersecting lines. Show further that the angle between them is tan^(-1)(5) .

9x^(2) +2hxy +4y^(2) +6x +2fy - 3 = 0 represents two parallel lines. Then

If the equation kx^(2) – 2xy - y^(2)– 2x + 2y = 0 represents a pair of lines, then k =

Prove that the equation 2x^2+5x y+3y^2+6x+7y+4=0 represents a pair of straight lines. Find the coordinates of their point of intersection and also the angle between them.

PREMIERS PUBLISHERS-TWO DIMENSIONAL ANALYTICAL GEOMETRY-SOLUTION TO EXERCISE (6.4)
  1. Find the combined equation of the straight lines whose separate equati...

    Text Solution

    |

  2. Show that 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of parallel lin...

    Text Solution

    |

  3. Show that 2x^(2)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicula...

    Text Solution

    |

  4. Show that the equations 2x^(2)-xy-3y^(2)-6x+19y-20=0 represents a pair...

    Text Solution

    |

  5. Find the equation of the pair of straight lines passing through the po...

    Text Solution

    |

  6. Find the separate equation of the following pair of straight lines 3...

    Text Solution

    |

  7. Find the separate equation of the following pair of straight lines 6...

    Text Solution

    |

  8. Find the separate equation of the following pair of straight lines 2...

    Text Solution

    |

  9. The slope of one of the straight lines ax^(2)+2hxy+by^(2)=0 is twice t...

    Text Solution

    |

  10. The slope of one of the straight lines ax^(2)+2hxy+by^(2)=0 is three t...

    Text Solution

    |

  11. A DeltaOPQ is formed by the pair of straight lines x^(2)-4xy+y^(2)=0 a...

    Text Solution

    |

  12. Find p and q, if the following equation represents a pair of perpendi...

    Text Solution

    |

  13. Find the value of k if the following equation represents a pair of str...

    Text Solution

    |

  14. For what value of k does the equation 12x^(2)+2kxy+2y^(2)+11x-5y+2=0 r...

    Text Solution

    |

  15. Show that the equation 9x^(2)-24xy+16y^(2)-12x+16y-12=0 represents a p...

    Text Solution

    |

  16. Show that the equation 4x^(2)+4xy+y^(2)-6x-3y-4=0 represents a pair of...

    Text Solution

    |

  17. Prove that one of the straight lines given by ax^(2)+2hxy+by^(2)=0 wil...

    Text Solution

    |

  18. Prove that the straight lines joining the origin to the points of inte...

    Text Solution

    |