If `x_1 , x_2, x_3` as well as `y_1, y_2, y_3` are in A.P., then the points `(x_1, y_1), (x_2, y_2), (x_3, y_3)` are (A) concyclic (B) collinear (C) three vertices of a parallelogram (D) none of these

If x_1, x_2, x_3 as well as y_1, y_2, y_3 are in G.P. with the same common ratio, then the points (x_1, y_1), (x_2, y_2) and (x_3, y_3) (A) lie on a straight line (B) lie on a parabola (C) lie on a circle (D) are vertices of a triangle

If the points (x_1 , y_1), (x_2, y_2) and (x_3, y_3) be the three consecutive vertices of a parallelogram, find the coordinates of the fourth vertex.

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are also in G.P. With the same common ratio,then the points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) lies on

If x_(1), x_(2), x_(3) as well as y_(1), y_(2), y_(3) are in GP, with the same common ratio, then the points (x_(1),y_(1)), (x_(2),y_(2)) and (x_(3), y_(3))

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are in G.P. with same common ratio,then prove that the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)) are collinear.

If x_(1),x_(2),x_(3) as well as y_(1),y_(2),y_(3) are in GP with the same common ratio,then the points (x_(1),y_(1)),(x_(2),y_(2)), and (x_(3),y_(3)). lie on a straight line lie on an ellipse lie on a circle (d) are the vertices of a triangle.

If _(i-1)(x_(i)^(2)+y_(i)^(2))<=2x_(1)x_(3)+2x_(2)x_(4)+2y_(2)y_(3)+2y_(1)y_(4)sum_(i-1)^(4)(x_(i)^(2)+y_(i)^(2))<=2x_(1)x_(3)+2x_(2)x_(4)+2y_(2)y_(3)+2y_(1)y_(4) the points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)),(x_(4),y_(4)) are the vertices of a rectangle collinear the vertices of a trapezium none of these