Q12 of 23 Page 330

Let us write the co-ordinates of centroid of triangle formed by the three points (x – y, y – z), (–x, –y) and (y, z).

Let the vertices of triangle be


A = (x1, y1) = (x – y, y – z) and


B = (x2, y2) = (–x, –y) and


C = (x3, y3) = (y, z)


Centroid of a triangle is given by


G =


Substituting values


⇒ G =


⇒ G =


⇒ G = (0, 0)


Centroid is (0, 0)


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