Question

What will be the centroid of the ∆ABC whose vertices are A(-2, 4), B(0, 0) and C(4, 2)?

(a) (\(\frac {2}{3}\), 2)

(b) (\(\frac {2}{3}\), 1)

(c) (\(\frac {2}{5}\), 2)

(d) (\(\frac {1}{3}\), 2)

This question was addressed to me during an online interview.

The query is from Geometry in chapter Coordinate Geometry of Mathematics – Class 10

Answer 1

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

Explanation: We know, xcentroid = \(\frac {x_1+x_2+x_3}{3}\) and ycentroid = \(\frac {y_1+y_2+y_3}{3}\)

xcentroid = \(\frac {-2+0+4}{3} = \frac {2}{3}\)

ycentroid = \(\frac {4+0+2}{3}\) = 2

The coordinates of the centroid are (\(\frac {2}{3}\), 2).