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Origin shifted to the point (1, 2) witho...

Origin shifted to the point (1, 2) without changing the direction of the axes then (4, 3) is transformed to

A

(3, 1)

B

(5, 5)

C

(-3, -1)

D

(2, -1)

Text Solution

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The correct Answer is:
A
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If the origin is shifted to the point (1, 2) by a translation of the axes, find the new coordinates of the point (3,-4)

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Knowledge Check

  • If the origin is shifted to the point (2,-2), the equation to which the equation (x-2)^(2) + (y+2)^(2)=9 transformed is

    A
    `x^(2) + y^(2)=9`
    B
    `x^(2) + 3y^(2)=1`
    C
    `x^(2) + y^(2) - 2x+6y=0`
    D
    `4x^(2) + 9y^(2) = 36`

  • When the origin is shifted to (1, -2) by translation of coordinate axes, the transformed coordinates of (3.-2) are (alpha , beta) If the axes are rotated about origin through an angle of 45^@ after the translation, then the transformed coordinates of (alpha , beta) are

    A
    `(sqrt2 , 0)`
    B
    `(0, sqrt2)`
    C
    `(-sqrt2, sqrt2 )`
    D
    `(sqrt2 , - sqrt2)`

  • When the origin is shifted to (1, -2) by translation of coordinate axes, the transformed coordinates of (3,-2) and (alpha, beta). If the axes are rotated about origin through an angle of 45^(@) after the translation, then the transformed coordinates of (alpha, beta) are

    A
    `(sqrt2, 0)`
    B
    `(0,sqrt2)`
    C
    `(-sqrt2, sqrt2)`
    D
    `(sqrt2,-sqrt2)`

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    When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation of 2x^2+y^2-4x+4y=0 .

    When the origin is shifted to (-1, 2) by the translation of axes, find the transformed equation of 2x^(2)+y^(2)-4x+4y=0

    When the origin is shifted to (-1,2) by the translation of axes, find the transformed equation of 2x^2+y^2-4x+4y=0

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    By rotating the coordinate axes in the positive direction about the origin by an angle alpha , if the point (1, 2) is transformed to ((3sqrt(3)-1)/(2sqrt(2)),(sqrt(3)+3)/(2sqrt(2))) in new coordinate system Then, alpha =

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