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Let G(1),G(2),G(3) be the centroids of t...

Let `G_(1),G_(2),G_(3)` be the centroids of the triangular faces `OBC, OCA, OAB` of a tetrahedron `OABC`. If `V_(1)` denote the volume of the tetrahedron `OABC` and `V_(2)` that of the parallelopiped with `OG_(1),OG_(2),OG_(3)` as three concurrent edges, then

A

`4V_(1)=9V_(2)`

B

`9V_(1)=4V_(2)`

C

`3V_(1) = 2V_(2)`

D

`3V_(2) = 2V_(1)`

Text Solution

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The correct Answer is:
A
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