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The distance of the point (1,-5,9) from ...

The distance of the point (1,-5,9) from the plane x-y+z = 5 measured along the line x = y = z is

Text Solution

Verified by Experts

`x/1=y/1=z/1`
DR(1,1,1)
`(x-1)/1=(y+5)/1=(z-9)/1=alpha`
`x=alpha+1,y=alpha-5,z=alpha+9`
`x-y+z=5`
`alpha+1-alpha+5+alpha+4=5`
`alpha=5-15=-10`
`d=sqrt((-10)^2+(-10)^2+(-10)^2)=10sqrt3`.
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