If `x- 2y = 0, y + 2x = 0` and `y = mx -1, m in R` form a `triangleABC`, then locus of centroid of `triangleABC` is

The equation of the altitudes AD,BE,CF of a triangle ABC are x+y=0,x-4y=0 and 2x-y=0 respectively.If.A =(t,-t) where t varies,then the locus of centroid of triangle ABC is (A) y=-5x(B)y=x(C)x=-5y(D)x=y

If plane 6x-3y+2z-18=0 meets co-ordinate axes at points A,B,C , then centroid of triangleABC is

A variable line y=mx-1 cuts the lines x=2y and y=-2x at points A and B Prove that the locus of the centroid of triangle OAB(O being the origin) is a hyperbola passing through the origin.

Let A(4, 2), B (6, 5) and C (1, 4) be the vertices of triangleABC . :- If (x_1,y_1) , B (x_2,y_2) and C (x_3,y_3) the vertices of triangleABC , find the coordinates of the centroid of the triangle.

The plane 2x+3y+4z=12 meets the coordinate axes in A,B and C. The centroid of triangleABC is

If A(x_1,y_1),B(x_2,y_2) and C(x_3,y_3) are the vertices of triangleABC ,find the coordinates of the centroid of the triangle.

The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rhombus if m equals

The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rhombus if m equals

The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rhombus if m equals

The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rhombus if m equals