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If the centroid of the triangle formed by the points `(a ,\ b),\ (b ,\ c)` and `(c ,\ a)` is at the origin, then `a^3+b^3+c^3=` `a b c` (b) 0 (c) `a+b+c` (d) `3\ a b c`

A

`abc`

B

`0`

C

`a+b+c`

D

`3abc`

Text Solution

Verified by Experts

The correct Answer is:
D
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