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If the centroid of trangle whose vertices are $(a, 1, 3) (- 2, b, - 5) and (4, 7, c)$ be the origin, then the values of a, b, c are.

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$- 2, - 8, - 2$

$2, 8_{} - 2$

$- 2, - 8, 2$

$- 2, 8, 2$

answer is C.

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Detailed Solution

$0 = \frac{a - 2 + 4}{3} \Rightarrow a = - 2, 0 = \frac{1 + b + 7}{3} \Rightarrow b = - 8 and 0 = \frac{3 - 5 + c}{3} \Rightarrow c = 2$

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