Mass is distributed uniformly over a thin triangular plate and co-ordinates of two vertices are (1m,3m) and (2m,-4m). The co-ordinates of third vertex,if centre of mass of plate lies at origin are

The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) , B(3,4) and C(1,2) . The co-ordinates of fourth vertex D are :

The co-ordinates of two vertices of Delta ABC are A(-5,7,3) and B(7,-6,-1). The co-ordinates of its centroid are (1,1,1). Find the co-ordinates of vertex C.

The co-ordinates of three consecutive vertices of a parallelogram are (-1,0), (3, 1) and (2, 2). Find the co-ordinates of fourth vertex of the parallelogram.

The co-ordinates of the vertices of a parallelogram ABCD are A(-1,2,3), B(2, -4,1) and C(1,2,-1). Find the co-ordinates of its 4th vertex.

The co-ordinates of three consecutive vertices of a parallelogram are (2, 0) , (4, 1) and (6, 4). Find the co-ordinates of its 4th vertex.

The co-ordinates of two vertices of Delta ABC are A(3,2,-4) and B(-2,3,-1). If its centroid is (3,1,0), then find the co-ordinates of vertex C.

The area of a triangle is 5 units. Two of its certices are (2,1)and (3,-2). The third vertex lies on y = x + 3. Find the co-ordinates of the third vertex of the triangle.

The co-ordinates of two vertices of Delta ABC are A(8,-9,8) and B(1,2,3). The medians of the triangle meet at the point (5,-2,4). Find the co-ordinates of the vertex C.

a point mass (m) is located at (0,a) where should th 2m mass be kept ,so that centre of mass lies at origin?

Three particles of masses m , m and 4kg are kept at a verticals of triangle ABC . Coordinates of A , B and C are (1,2) , (3,2) and (-2,-2) respectively such that the centre of mass lies at origin. Find the value of mass m . Hint. x_(cm)=(sum_(i-1)^(3)m_(i)x_(i))/(sum_(i=1)^(3)m_(i)) , y_(cm)=(sum_(i=1)^(3)m_(i)y_(i))/(sum_(i=1)^(3)m_(i))