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Q.

If feet of perpendiculars from point P(1,2,3) on xy, yz and zx-plane are A,B and C respectively, then distance of centroid of triangle ABC from origin is

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a

143

b

2143

c

3142

d

314

answer is B.

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Detailed Solution

Clearly A = (1,2,0), B = (0,2,3) and C = (1,0,3).∴ Centroid of triangle ABC isG=1+0+13, 2+2+03, 0+3+33       23, 43, 2∴ OG=232+432+22=2143
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