If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is [AIEEE 2005]

\[\left( \frac{1}{3},\,\frac{7}{3} \right)\]

\[\left( 1,\,\frac{7}{3} \right)\]

\[\left( -1,\,\frac{7}{3} \right)\]

\[\left( \frac{-1}{3},\,\frac{7}{3} \right)\]

If a vertex of a triangle is (1, 1) and the mid points of two sides th

1.	If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is [AIEEE 2005]
A.	\[\left( 1,\,\frac{7}{3} \right)\]
B.	\[\left( \frac{1}{3},\,\frac{7}{3} \right)\]
C.	\[\left( -1,\,\frac{7}{3} \right)\]
D.	\[\left( \frac{-1}{3},\,\frac{7}{3} \right)\]
Answer» B. \[\left( \frac{1}{3},\,\frac{7}{3} \right)\]

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If a vertex of a triangle is (1, 1) and the mid points of two sides through this vertex are (-1, 2) and (3, 2), then the centroid of the triangle is [AIEEE 2005]

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