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The equation of the image of the plane x...

The equation of the image of the plane `x-2y+2z-3=0` in the plane `x+y+z+1=0` is

A

`x-8y+4z-7=0`

B

`x-8y+4z-11=0`

C

`x+8y-4z-7=0`

D

`x+8y-4z-11=0`

Text Solution

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The correct Answer is:
B
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Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0

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Knowledge Check

  • The reflection of the plane 2x - 3y + 4z - 3 = 0 in the plane x-y + z- 3 = 0 is the plane

    A
    `4x - 3y + 2z - 15=0`
    B
    `4x - 2y +z - 15=0`
    C
    `3x - 2y + 2z - 15 =0`
    D
    None of the above

  • The reflection of the plane 2x-3y+4z-3=0 in the plane x-y+z-3=0 is the plane

    A
    `4x-3y+2z-15=0`
    B
    `x-3y+2z-15=0`
    C
    `4x+3y-2z+15=0`
    D
    None of the above

  • The equation of the plane through the line of intersection of the planes x + y + z - 1 = 0 and 2x + y - 3z + 2 = 0 passing through the point (1,1,1), is

    A
    `x-4z+3=0`
    B
    `x-y+z=1`
    C
    `x+y+z=3`
    D
    `2x-y+z=2`

    • Similar Questions

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    Find the equation of the plane mid-parallel to the planes 2x-2y+z+3=0 and 2x-2y+z+9=0 .

    Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=0

    The equation of the plane through the intersection of the planes x-2y+3z +4=0 and 2x - 3y + 4z - 7=0 and the point (1,-1,1) is 9x-13y +17z -39 = 0 .

    The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x -axis is

    Equation of line of projection of the line 3x-y+2z-1=0=x+2y-z=2 on the plane 3x+2y+z=0 is

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