If the coordinates of the vertices of a triangle be (1, a), (2, b) and (c2,3), then the centroid of the triangle
Cannot lie on y-axis
Centroid is (1+2+c23,a+b+33)
Now on y-axis x = 0; ⇒ 3+c23 = 0 ⇒ c2=−3
which is impossible. Hence it cannot lie on y - axis.