Home
Class 12
MATHS
The angle of rotation of axes in order t...

The angle of rotation of axes in order to eliminate xy term in the equation `2x^(2) + sqrt(3)xy + 3y^(2)=9` is

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-1|3 Videos
  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-2|3 Videos
  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos
  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos
  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

The angle of rotation of axes in order to eliminate xy term in the equation x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) is

The angle of rotation of axes in order to eliminate xy term of the equation x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) is

The angle of rotation of axes to remove xy terms in the equation 9x^(2) - 2sqrt(3)xy + 3y^(2)=0 is

The angle of rotation of axes to remove xy terms in the equation 3x^(2) - 2 sqrt(3) xy + 9y^(2) = 10 is

The angle of rotation of axes to remove xy term in the equation 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 is

Find the angle of rotation to eliminate xy term in the equation x^(2) + 2 sqrt(3) xy - y^(2) = 18

The angle of rotation of axes to remove xy term in the equation xy = c^(2) is

Show that the angle of rotation of the axes to eliminate xy term in the equation ax^(2) + 2hxy + by^(2) = 0 " is " (1)/(2) Tan^(-1) ((2h)/(a - b)) " when " a ne b and pi //4 when a = b

The angle of rotation of axes to remove xy term of the equation xy = c^(2) is

DIPTI PUBLICATION ( AP EAMET)-TRANSFORMATION OF AXES -EXCERSIE 1
  1. The line joining the points A(2,0) and B(3,1) is rotated through an an...

    Text Solution

    |

  2. The angle of rotation of axes in order to eliminate xy term in the equ...

    Text Solution

    |

  3. The angle of rotation of axes in order to eliminate xy term in the equ...

    Text Solution

    |

  4. The angle of rotation of axes to remove xy term in the equation xy = c...

    Text Solution

    |

  5. The angle of rotation of axes to remove xy term in the equation 9x^(2)...

    Text Solution

    |

  6. The angle of rotation of axes to remove xy term in the equation x^(2) ...

    Text Solution

    |

  7. The transformed equation of x cos alpha + y sin alpha = p when the axe...

    Text Solution

    |

  8. The transformed equation of x sin alpha - y cos alpha =p when the axes...

    Text Solution

    |

  9. The transformed equation of 2xy + a^(2) =0 when the axes are rotated t...

    Text Solution

    |

  10. The transformed equation of x^(2) -y^(2)=a^(2) when the axes are rotat...

    Text Solution

    |

  11. The transferred equation of x^(2) + 6xy + 8y^(2)=10 when the axes are ...

    Text Solution

    |

  12. The transformed equation of x^(2) + 4xy + y^(2) - 2x +2y-6=0 when the ...

    Text Solution

    |

  13. The transformed equation of 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 when the a...

    Text Solution

    |

  14. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

    Text Solution

    |

  15. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

    Text Solution

    |

  16. When the axes are rotated through an angle pi//6. Find the transformed...

    Text Solution

    |

  17. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

    Text Solution

    |

  18. The transformed equation of 3x^(2) + 3y^(2) + 2xy =2 when the coordina...

    Text Solution

    |

  19. The transferred equation of x^(2) -y^(2) +a^(2)=0 when the axes are ro...

    Text Solution

    |

  20. The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rot...

    Text Solution

    |