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If centroid of the tetrahedron , whose vertices are given by (0,0,0), (a, 2, 3),(1, b, 2) and (2, 1, c)  be (1, 2, –1), then distance of P(a,b,c) from origin is equal to 


Options:
A .   107
B .   14
C .   10714
D .   10
Answer: Option A
:
A
Centroid (x4,y4,z4)=(1,2,1)
a=1,b=5,c=9;a2+b2+c2=107.

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