question_answer

It 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  Solved  Paper-2005

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

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

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

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

Correct Answer: B

Solution :

Ifandare the vertices of a triangle, then the coordinates of the centroid will be . Let D and E be mid-points of AB and AC. So, coordinates of B and C are (- 3, 3) and (5, 3), respectively. .   Centroid of triangle