Question

If the vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b), then the centroid of the triangle lies ______.

• A. at origin
• B. on x-axis
• C. on y-axis
• D. (a+b+c, 0)

Answer 1

The correct option is B

on x-axis

If (x,y) are the coordinates of the centroid of the triangle, then

x = $\frac{a+b+c}{3}$, y = $\frac{b-c+c-a+a-b}{3}$ = 0

$\Rightarrow$ The centroid lies on the x - axis.