Q.

Suppose that A, B, C are feet of perpendiculars from point P( 1 , 2, 3) on xy, yz and zx-plane, thendistance of centroid of tringle ABC from origin is

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a

143

b

2143

c

3143

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≡23,43,2OG=232+432+(2)2=2143
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Suppose that A, B, C are feet of perpendiculars from point P( 1 , 2, 3) on xy, yz and zx-plane, thendistance of centroid of tringle ABC from origin is