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The distance of the point P(3, 8, 2) fro...

The distance of the point `P(3, 8, 2)` from the line `(x-1)/2 = (y-3)/4=(z-2)/3` measured parallel to the plane `3x+2y-2z+17=0` is

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plane given is `3x+2y - 2z + 17=0`
`3x+2y-2z+c=0-> (3,8,2)`
`9+16-4 + c =0`
`c=-21`
so eqn of plane will be `3x + 2y-2z-21=0`
for coordinates lets the points are equal to `lamda`
so, `x=2lamda +1`
`y= 4 lamda+3`
...
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