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Find the angle through which the axes b...

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`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(4)`
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Knowledge Check

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

    A
    `pi//12`
    B
    `pi//6`
    C
    `pi//3`
    D
    `pi//4`

  • The point to which the orgine is to be shifted to remove the first degree terms from the equation 2x^(2) + 4xy - 6y^(2) + 2x + 8y + 1 = 0 is

    A
    `((7)/(8),(3)/(8))`
    B
    `((-7)/(8),(-3)/(8))`
    C
    `((-7)/(8),(3)/(8))`
    D
    `((7)/(8),(-3)/(8))`

  • 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)`

    • Similar Questions

    Explore conceptually related problems

    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 are to be rotated so as to remove the xy term in the equation x^2+4xy+y^2-2x+2y-6=0 .

    The point to which the axes to be translated to eliminate x and y terms in the equation 3x^(2) - 4xy - 2y^(2)-3x -2y-1=0 is

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

    To remove the x and y terms of the equation 14x^(2) - 4xy + 11y^(2) - 36 + 48 y + 41 = 0 the shifted origin is

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