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A: The transformed equation of x^(2) - y...

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

Text Solution

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The correct Answer is:
A
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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).

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Knowledge Check

  • 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

  • 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

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

    A
    xy=1
    B
    `6x^(2) + 5xy-6y^(2)=0`
    C
    `2x^(2) + 4xy + 5y^(2)=22`
    D
    `5x^(2) +4xy + 8y^(2)=9`

    • Similar Questions

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    Find the transformed equation of x^(2)+y^(2)+2x-4y+1=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 2x^(2) + 4xy + 5y^(2) = 0 when the origin is shifted tot he point (3,4)

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

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