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The image of the point (1,3,4) with resp...

The image of the point (1,3,4) with respect to the plane `2x-y+z+3=0` is

A

`(-1,4,3)`

B

`(-3,5,2)`

C

(1,2,4)

D

`(-1,-3,-4)`

Text Solution

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The correct Answer is:
B
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Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x-y+z+3=0 and let R (3,5, gamma) be a point of this plane. Then the square of the length of the line segment SR is __________.

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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 . 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`

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

  • The image of the point P (1, 3, 4) in the plane 2x - y + z + 3 = 0 is

    A
    `(3,5,-2)`
    B
    `(-3,5,2)`
    C
    `(3,-5,2)`
    D
    `(3,5,2)`

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    The image of the point (-1, 3, 4) in the plane x-2y=0 is

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