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Consider the line L given by the equatio...

Consider the line L given by the equation `(x -3)/(2) = ( y-1)/( 1) = ( z -2)/(1).` Let Q be the mirror image of the point (2,3 –1) with respect to L. Let a plane P be such that it passes through Q, and the line L is perpendicular to P. Then which of the following points is one the plane P?

A

`(-1,1,2)`

B

`(1,1,2)`

C

`(1,1,1)`

D

`(1,2,2)`

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Knowledge Check

  • Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . The equation of the plane passing through P and parallel to x-2y+3z=7 is

    A
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    B
    `2x-4y+6z=7`
    C
    `x+2y-6z+2=0`
    D
    `x-2y+3z+2=0`

  • Let P be the image of the point (3, 1, 7) with respect to the plane x-y+z=3 . Then, the equation of the plane passing through P and containing the straight line (x)/(1)=(y)/(2)=(z)/(1) is

    A
    `x+y-3z=0`
    B
    `3x+z=0`
    C
    `x-4y+7z=0`
    D
    `2x-y=0`

  • A plane P passes through the line of intersection of the planes 2x-y+3z=2,x+y-z=1 and the point (1,0,1). What is the equation of the plane P?

    A
    `2x+5y-2=0`
    B
    `5x+2y-5=0`
    C
    `x+z-2=0`
    D
    `2x-y-2z=0`

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