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Perpendiculars are drawn from points on ...

Perpendiculars are drawn from points on the line `(x + 2 )/(2) = (y+1)/(-1) = z/3` to the plane `x + y + z =3.` The feet of perpendiculars lie on the line

A

`x/5 = (y-1)/(8) = (z-2)/(-13)`

B

`x/2 =(y-1)/(3) = (z-2)/(-5)`

C

`x/4 = (y-1)/(3) = (z-2)/(-7)`

D

`x/2 = (y-1)/(-7) = (z-2)/(5)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The image of the line (x-1)/(3) = (y-3)/(1) = (z-4)/(-5) in the plane 2x - y + z + 3 =0 is the line

    A
    `(x-3)/(3) = (y + 5)/(1) = (z-2)/(-5)`
    B
    `(x -3)/(-3) = (y+5)/(-1) = (z-2)/(5)`
    C
    `(x +3)/(3) = (y-5)/(1) = (z-2)/(-5)`
    D
    `(x +3)/(-3) = (y-5)/(-1) = (z+2)/(5)`

  • The perpendicular distance from the origin to the plane x + y + Z+3 =0 is

    A
    `sqrt 3`
    B
    `sqrt 2`
    C
    1
    D
    2

  • The lines (x-2)/(1)=(y-3)/(2)=(z-4)/(0) is

    A
    parallel to x-axis
    B
    parallel to y-axis
    C
    parallel to z-axis
    D
    lies in a plane parallel to xy-plane

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