The plane \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3\]meets the co-ordinate axes in \[A,B,C\]. The centroid of the triangle ABC is [DCE 2005]

\[\left( \frac{a}{3},\frac{b}{3},\frac{c}{3} \right)\]

\[\left( \frac{3}{a},\frac{3}{b},\frac{3}{c} \right)\]

\[\left( \frac{1}{a},\frac{1}{b},\frac{1}{c} \right)\]

The plane \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3\]meets the co-ordina

1.	The plane \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3\]meets the co-ordinate axes in \[A,B,C\]. The centroid of the triangle ABC is [DCE 2005]
A.	\[\left( \frac{a}{3},\frac{b}{3},\frac{c}{3} \right)\]
B.	\[\left( \frac{3}{a},\frac{3}{b},\frac{3}{c} \right)\]
C.	\[\left( \frac{1}{a},\frac{1}{b},\frac{1}{c} \right)\]
D.	\[(a,b,c)\]
Answer» E.

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The plane \[\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=3\]meets the co-ordinate axes in \[A,B,C\]. The centroid of the triangle ABC is [DCE 2005]

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