Home
Class 12
MATHS
Find the measure of rotation so that the...

Find the measure of rotation so that the equation `x^2 - xy + y^2 = 5` when transformed does not contain xy- term.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    MBD PUBLICATION|Exercise QUESTION BANK|13 Videos
  • THREE DIMENSIONAL GEOMETRY

    MBD PUBLICATION|Exercise QUESTION BANK|523 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the lines represented by the following equation 2x^2 -5xy - 3y^2 = 0

Find the equation of the lines represented by the following equation 3x^2 + 4xy = 0

Find the acute angle between the pair of lines given by : x^2 + 2xy - 4y^2 = 0

Find the point on the curve x^2 + y^2 - 4xy + 2 = 0 where the normal is paralell to the x-asis.

Transform the equation : 2x^2 + 3y^2 + 4xy - 12x - 14y + 20 = 0 when referred to parallel axes through (2,1).

Find the solution of the following differential equations: (x^2-y^2)dx+2xy dy=0

State True or False . The equation of xy-plane is x + y = 0 .

Find the particular solution of the differential equation (dy)/(dx)= -4xy^(2) , given that y= 1, when x= 0.

MBD PUBLICATION-STRAIGHT LINES-QUESTION BANK
  1. Which of the following equations represent pair of lines ? 10x^2 - ...

    Text Solution

    |

  2. Which of the following equations represent pair of lines ? xy + x +...

    Text Solution

    |

  3. For what value of lamda do the following equations represent pair of s...

    Text Solution

    |

  4. For what value of lamda do the following equations represent pair of s...

    Text Solution

    |

  5. Obtain the value of lamda for which the pair of straight lines represe...

    Text Solution

    |

  6. Prove that a pair of lines through origin perpendicular to the pair of...

    Text Solution

    |

  7. Obtain the condition that a line of the pair of lines ax^2 + 2hxy + ...

    Text Solution

    |

  8. Obtain the condition that a line of the pair of lines ax^2 + 2hxy + ...

    Text Solution

    |

  9. Find the acute angle between the pair of lines given by : x^2 + 2xy ...

    Text Solution

    |

  10. Find the acute angle between the pair of lines given by : 2x^2 + xy -...

    Text Solution

    |

  11. Find the acute angle between the pair of lines given by : x^2 + xy - ...

    Text Solution

    |

  12. Write down the equation of pair of bisectors of the following pair of ...

    Text Solution

    |

  13. Write down the equation of pair of bisectors of the following pair of ...

    Text Solution

    |

  14. Write down the equation of pair of bisectors of the following pair of ...

    Text Solution

    |

  15. Write down the equation of pair of bisectors of the following pair of ...

    Text Solution

    |

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

    Text Solution

    |

  17. Transform the equaton : x^2 + y^2 - 2x - 4y + 1 = 0 by shifting t...

    Text Solution

    |

  18. Transform the equation : 2x^2 + 3y^2 + 4xy - 12x - 14y + 20 = 0 when r...

    Text Solution

    |

  19. Find the measure of rotation so that the equation x^2 - xy + y^2 = 5 w...

    Text Solution

    |

  20. What does the equation x + 2y - 10 = 0 become when the origin is chang...

    Text Solution

    |