The vertices of a triangle are `(1, a),(2, b)` and `(c^2,-3).`(1) Prove that its centroid can not lie on the y-axis.60 Find the condition that the centroid may lie on the x-axis for any value of `a,b,c in R`

The vertices of a triangle are (1, a),(2, b) and (c^2,-3). (1) Prove that its centroid can not lie on the y-axis. (2) Find the condition that the centroid may lie on the x-axis for any value of a,b,c in R

The vertices of a triangle are (1,a),(2,b) and (c^(2),-3).(1) Prove that its centroid can not lie on the y-axis.60Find the condition that the centroid may lie on the x-axis for any value of a,b,c in R

The vertices of a triangle are (1,a),(2,b) and (c^(2),-3). (i) Prove that its centroid can not lie on the y-axis.(ii) Find the condition that the centroid may lie on the x- axis for any value of a,b,c in R.

The vertices of a triangle are (1, a), (2, b) and (c^2, -3). (i) Prove that its centroid can not lie on the y-axis. (ii) Find the condition that the centroid may lie on the x-axis for any value of a, b, c in RR.

The vertices of a triangle are (1, a), (2, b) and (c^2, -3). (i) Prove that its centroid can not lie on the y-axis. (ii) Find the condition that the centroid may lie on the x-axis for any value of a, b, c in RR.

The vertices of a triangle are (1, a), (2, b) and (c^(2)-3) Find the condition that the centroid may lie on the X-axis.

The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). Prove that its centroid lies on x-axis.

Two vertices of a triangle are A(1, 1), B (2, -3). If its centroid is (2, 1) find the third vertex.