The foot of the perpendicular from (a,b,c) on the line x=y=z is the point (r,r,r) where

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r=a+b+c

r=3(a+b+c)

3r=a+b+c

r=4(a+b+c)

answer is C.

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Detailed Solution

Dr s of line is 1,1,1dr s of line joining (a,b,c)&(r,r,r) isr-a,r-b,r-cboth are perpendicular 1(r-a)+1(r-b)+1(r-c)=0

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