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Find the transformed equation of x^...

Find the transformed equation of
`x^(2) + y^(2) + 2x - 4y + 1 = 0` when the origin is shifted to the point (-1, 2)

Text Solution

Verified by Experts

The correct Answer is:
`X^(2) + Y^(2) - 4 = 0`
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Find the transformed equation of 2x^(2) + y^(2) - 4x + 4y = 0 when the origin is shifted to the point (-1, 2)

Find the transformed equation of 2x^(2) + 4xy + 5y^(2) = 0 when the origin is shifted tot he point (3,4)

Knowledge Check

  • The transformed equation of x^(2) - y^(2) + 2x + 4y = 0 when the origin is shifted to the point (-1, 2) is

    A
    `X^(2) + Y^(2) = 1`
    B
    `X^(2) + 3Y^(2) = 1`
    C
    `X^(2) - Y^(2) + 3 = 0`
    D
    `4X^(2) + 9Y^(2) = 36`

  • A: The transformed equation of x^(2) - y^(2) + 2x + 4y=0 when the origin is shifted to the point (-1,2) is X^(2) - Y^(2) +3=0 . R: If x,y terms are elimianted form ax^(2) + 2hxy - by^(2) + 2gx + 2fy +c=0 by shifting the origin to (alpha, beta) then the transformed equation is ax^(2)+ 2hxy + by^(2) + galpha + f beta + c=0

    A
    Both A and R are true and R is the correct explanation of A.
    B
    Both A and R are true but R is not the correct explanation of A.
    C
    A is true but R is false
    D
    A is false but R is false

  • The transformed equation of xy + 2x -5y - 11 = 0 when the origin is shifted to the point (2, 3) is,

    A
    xy-5x-3y + 16 = 0
    B
    xy+5x+3y - 16 = 0
    C
    xy+5x-3y - 16 = 0
    D
    xy-5x+3y + 16 = 0

    • Similar Questions

    Explore conceptually related problems

    Find the transformed equation of 2x^(2)+y^(2)-4x+4y=0 when the origin is shifted to the point (-1,2).

    Find th transformed equation of 2x^(2) +4xy +5y^(2) =0 when the origin is shifted to the point (3,4).

    Find the transformed equation of 5x^(2) + 4xy + 8y^(2) - 12x - 12y = 0 when the axes are translated to the point (1, 1/2)

    The transformed equation of xy + 2x -5y - 11 = 0 when the origin is shifted to the point (2, 3) is,

    The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when the axes are translated to the point (1,-2) is

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