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The distance of the point (1,-2,3) from ...

The distance of the point `(1,-2,3)` from the plane `x-y+z-5=0`, measured parallel to the line `x/2=y/3=(z-1)/-6` is equal to

A

1 unit

B

2 unit

C

3 units

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Equation of line parallel to given line and through `(1,-2,3)` is `(x-1)/2=(y+2)/3=(z-3)/-6` …………(1)
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Knowledge Check

  • The distance of point (1,-2,-3) from plane x-y+z=5 measured parallel to the line x/2=y/3=z/(-6) is

    A
    7
    B
    `1/7`
    C
    1
    D
    5

  • The distance of the point (3,5) from the line 2x+3y-14=0 measured parallel to the line x-2y=1 is

    A
    `7/(sqrt(5))`
    B
    `7/(sqrt(13))`
    C
    `sqrt(5)`
    D
    `sqrt(13)`

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