Home
Class 12
MATHS
The changed equation of locus x^2 + 6xy ...

The changed equation of locus `x^2 + 6xy +y^2=1` when the lines x + y = 0 and x-y + 1 = 0 are taken as the new x and y axis respectively is given by

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 new equation of the curve 4(x-2y+1)^(2)+9(2x+y+2)^(2)=25, if the lines 2x+y+2=0 and x-2y+1=0 are taken as the new x and y axes respectively is

Equation of a line passing through the intersection of the lines 7x-y+2=0 and x-3y+6=0 parallel to x - axis is

The equation x+2y=3,y-2x=1 and 7x-6y+a=0 are consisten for

Find the equation of the line through the intersection of the lines 2x-3y+1=0 and x+y-2=0 and drawn parallel to y-axis.

Show that the lines 2x+3y+11=0 and 2x-2y-1=0 are conjugate with respect to the circle x^(2)+y^(2)+4x+6y-12=0

Find the equation of a line which passes through the intersection of the lines 3x+y-2=0 and x-y+1=0 and parallel to Y -axis.

Find the equation of the line perpendicular to the line 2x+y-1=0 through the intersection of the lines x+2y-1=0 and y=x .

Two lines given by equation x^(2)+xy+y^(2)=0 are

A DAS GUPTA-Pair of Straight Lines and Transformation of Axes-EXERCISE
  1. The changed equation of locus x^2 + 6xy +y^2=1 when the lines x + y = ...

    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

    |