Home
Class 11
MATHS
The angle of rotation of axes in order t...

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

A

`(pi)/(6)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 1 (Very short answer questions)|3 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 1 (Short answer questions)|7 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Solved Examples|4 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 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 in the equation 2x^(2) + sqrt(3)xy + 3y^(2)=9 is

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

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

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

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

The angle of rotation of axes to remove xy term in the equation x^(2) + 4xy + y^(2) - 2x + 2y -6=0 is

AAKASH SERIES-CHANGE OF AXES-Exercise - 1
  1. Assertion (A) : If the area of triangle formed by (0,0), (-1,2),(1,2) ...

    Text Solution

    |

  2. If the axes are rotated through an angle of 45^(0) and the point p has...

    Text Solution

    |

  3. If the axes are rotated through an angle 45^(0) in the anti-clockwise...

    Text Solution

    |

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

    Text Solution

    |

  5. The angle of rotation of axes to remove xy term of the equation xy = ...

    Text Solution

    |

  6. The transformed equation of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 when th...

    Text Solution

    |

  7. The transformed equation of x^(2) + y^(2) = r^(2) when the axes rotate...

    Text Solution

    |

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

    Text Solution

    |

  9. When angle of rotation of axes is Tan^(-1) 2 the transformed equation...

    Text Solution

    |

  10. When axes rotated through an angle alpha the transformed equation of x...

    Text Solution

    |

  11. If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^...

    Text Solution

    |

  12. Find the angle of rotation of the axes so that the equation sqrt(3) x ...

    Text Solution

    |

  13. Find the angle of roation of the axes so that the equation 2x + 3y =7...

    Text Solution

    |

  14. If the point (sqrt(2), - sqrt(2)) was transformed as (0, -2) by rotat...

    Text Solution

    |

  15. Statement - I : The point to which the origin has to be shifted to el...

    Text Solution

    |

  16. The origin is translated to (1,2) . The point (7,5) in the old system ...

    Text Solution

    |

  17. The point P(1,3) undergoes the following transformations successively ...

    Text Solution

    |

  18. If the origin of a coordinate system is shifted to (-sqrt(2), sqrt(2))...

    Text Solution

    |

  19. If the coordinate axes are rotated through an angle (pi)/(6) about the...

    Text Solution

    |

  20. If the axes are rotated anticlockwise through an angle 90^(@) then the...

    Text Solution

    |