Question

Co-ordinates of the centroid of a triangle whose vertices are

P(-1,2), Q(1,-1) and R(6,1) are .

• A. (3, $\frac{4}{3}$)
• B. (3, $\frac{2}{3}$)
• C. (2, $\frac{2}{3}$)
• D. (2,$\frac{4}{3}$)

Answer 1

The correct option is C (2, $\frac{2}{3}$)

Coordinates of the centroid of a triangle whose vertices are $(x_1,y_1)$, $(x_2,y_2)$ and $(x_3,y_3)$ are given by $(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

Hence the coordinates of the centroid of the given triangle are$(\frac{-1+1+6}{3},\frac{2+(-1)+1}{3})$

i.e., $(\frac{6}{3},\frac{2}{3})$

= $(2,\frac{2}{3})$