If `(1,a), (2,b), (c^2,3)` are vertices of a triangle then its centroid is

If (1,a), (2,b), (c^2,-3) are vertices of a triangle then the condition for its centroid to lie on x-axis is

If (1,a),(2,b),(c^(2),-3) are vertices of a triangle then the condition for its centroid to lie on x-axis is

If z_1,z_2,z_3 are the vertices of a triangle then its centroid is

If (a,b) , (b,c) and (c,a) are the vertices of a triangle and the centroid of triangle is origin, then a^3+b^3+c^3=

If A = (3, 2, 5), B = (3, 3, 5) and C = (3, 4, 8) are the vertices of a triangle ABC, then its centroid is

If A(-1, 0), B(5, -2) and C(8, 2) are the vertices of a Delta ABC then its centroid is

Let A (2,3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then the locus of the vertex C is the line-

A(2,-3) and B(-2,1) are the vertices of a triangle A B C . If the centroid of this triangle moves on the line 2 x+3 y=1, then the locus of the vertex C is the line

If z_(1),z_(2) are vertices of an equilateral triangle with z_(0) its centroid, then z_(1)^(2)+z_(2)^(2)+z_(3)^(2)=