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The square of the distance of the point ...

The square of the distance of the point of intersection of the line and the plane `(x-1)/(2)=(y-2)/(3)=(z+1)/(6)` and the plane 2x-y+z=6 from the point (- 1, -1, 2) is_________

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Prove that the distance of the points of intersection of the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) and the plane x-y+z=5 from the point (-1, -5. -10) is 13.

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Knowledge Check

  • The distance of the point of intersection of the line (x-2)/(3)=(y+1)/(4)=(z-2)/(12) and the plane x - y + z = 5 from the point (-1, -5,-10), is

    A
    10
    B
    11
    C
    12
    D
    13

  • The point of intersection of the line (x - 1)/(3) = (y + 2)/(4) = (z - 3)/(-2) and plane 2x-y+3z-1 =0 is

    A
    `(10,-10,3)`
    B
    `(10,10,13)`
    C
    `(-10,10,3)`
    D
    none of these

  • The coordinate of the point of intersection of the line (x-1)/(1)=(y+2)/(3)=(z-2)/(-2) with the plane

    A
    (5,10,6)
    B
    (10,5,6)
    C
    (5,5,-6)
    D
    (5,10,-6)

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    The distance of origin from the point of intersection of the line x/2=(y-2)/3=(z-3)/4 and the plane 2x+y-z=2 is

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