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The angle of rotation of axes to remove ...

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

Text Solution

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The correct Answer is:
`pi/4`
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Find the angle through which the axes are to be rotated so as to remove the xy term in the equation. x ^(2) + 4xy + y ^(2) - 2x + 2y - 6=0.

Find the angle through which the axes be rotated to remove the xy term from the equations x^(2) + 4xy + y^(2) - 2x + 2y - 6 = 0

Knowledge Check

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

    A
    `pi//12`
    B
    `pi//6`
    C
    `pi//3`
    D
    `pi//4`
  • The angle of rotation of axes to remove xy term of the equation xy = c^(2) is

    A
    `(pi)/(12)`
    B
    `(pi)/(6)`
    C
    `(pi)/(3)`
    D
    `(pi)/(4)`
  • The angle of rotation of axes to remove xy terms in the equation 3x^(2) - 2 sqrt(3) xy + 9y^(2) = 10 is

    A
    `pi//2`
    B
    `pi//2`
    C
    `pi//3`
    D
    `pi//12`
  • Similar Questions

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    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

    A: The angle of rotation to remove the xy-term in the equation 2x^(2) + sqrt(3)xy + 3y^(2) =9 is pi//6 . R: The angle of rotation of the axes to eliminate xy term in the equation. ax^(2) + 2hxy + by^(2) + 2gx + 2fy +c=0 is 1/2 tan^(-1)(2h)/(a-b)

    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