Home
Class 12
MATHS
The four straight lines given by the equ...

The four straight lines given by the equations `2x^2 + 7xy – 12y^2 = 0 and 12x^2 + 7xy - 12y^2 - x + 7y- 1 = 0` lie along the sides of a

Promotional Banner

Topper's Solved these Questions

  • Pair of Straight Lines and Transformation of Axes

    A DAS GUPTA|Exercise EXERCISE|22 Videos

  • Objective Tests

    A DAS GUPTA|Exercise Exercise|36 Videos

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

The four straight lines given by the equations 2x^(2)+7xy12y^(2)=0 and 12x^(2)+7xy-12y^(2)-x+7y-1=0 lie along the sides of a

The straight lines represented by the equation 9x^(2)-12xy+4y^(2)=0 are

The nature of straight lines represented by the equation 4x^(2)+12xy+9y^(2)=0 is

The equation x^(2)-7xy-y^(2)=0 represents

The equation 2x^(2) + 5xy-12y^(2)=0 respresents a

The Curve represented by the equation 12x^(2)-25xy+12y^(2)+10x+11y+2=0 is

The Curve represented by the equation 2x^(2)+xy+6y^(2)-2x+17y-12=0 is

A DAS GUPTA-Pair of Straight Lines and Transformation of Axes-EXERCISE
  1. The four straight lines given by the equations 2x^2 + 7xy – 12y^2 = 0 ...

    Text Solution

    |

  2. Prove that the bisectors of the between the lines ax^2+acxy+cy^2=0 and...

    Text Solution

    |

  3. If the pairs of lines ax^2+2hxy+by^2=0 and a'x^2+2h'xy+b'y^2=0 have on...

    Text Solution

    |

  4. Find the condition that the one of the lines given by ax^2+2hxy+by^2=0...

    Text Solution

    |

  5. Show that the area of the triangle formed by the lines ax^2+2hxy+by^2=...

    Text Solution

    |

  6. A pair of perpendicular straight lines is drawn through the origin ...

    Text Solution

    |

  7. Show that the centroid (x',y') of the triangle with sides ax^2+2hxy+by...

    Text Solution

    |

  8. If the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the...

    Text Solution

    |

  9. The straight lines represented by (y-m x)^2=a^2(1+m^2) and (y-n x)^2=a...

    Text Solution

    |

  10. Find the combined equation of the straight lines passing through the p...

    Text Solution

    |

  11. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 resents a pair ...

    Text Solution

    |

  12. If the pair of straight lines a x^2+2h x y+b y^2=0 is rotated about th...

    Text Solution

    |

  13. The new equation of the curve 4(x-2y+1)^2+9(2x+y+2)^2 =25, if the lin...

    Text Solution

    |

  14. The acute angle between the lines given by x^(2)+2(cosectheta)xy+y^(2)...

    Text Solution

    |

  15. The difference of the slopes of the lines given by the equation x^2(se...

    Text Solution

    |

  16. If the pair of straight lines x^2 - 2pxy - y^2 = 0 and x^2 - 2qxy -y^2...

    Text Solution

    |

  17. The equation 12x^(2)+7xy-12y^(2)-18x+y+6=0 represents

    Text Solution

    |

  18. The number of values of lambda for which the bisectors of the angle b...

    Text Solution

    |

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

    Text Solution

    |

  20. The equation (x+y+1)^2+k(x^2+y^2+1)=0 represents two straight lines th...

    Text Solution

    |

  21. The equation 4x^(2)-24xy+11y^(2)=0 represents

    Text Solution

    |