`A(4,\ 2),\ B(6,5)` and `C(1,\ 4)` are the vertices of triangle` A B C` . The median from `A` meets `B C` in `D` . Find the coordinates of the point `D` .

Let A (4, 2), B(6, 5) and C(1, 4) be the vertices of Delta A B C . (i) The median from A meets BC at D. Find the coordinates of the point D. (ii) Find the coordinates of the point P on AD such that AP : PD = 2 : 1 (iii) Find the coordinates of points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1.

The points A (x_(1),y_(1)), B (x_(2),y_(2)) and C (x_(3),y_(3)) are the vertices of triangle ABC. (i) The median from A Meets Bc at D. Find the coordinates of the points D. (ii) Find the coordinates of the point P on Ad such that AP : PD = 2 : 1 . (iii) Find the coordinates of points Q and R on medians BE and CF, respectively such that BQ : QE=2 :1 and CR : RF =2 : 1 . What are the coordinates of the centroid of the triangle ABC?

A(-3, 1), B(4,4) and C(1, -2) are the vertices of a triangle ABC. Find: the equation of median BD.

A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC. Find : the slope of the median AD .

A (3,2,0) , B (5,3,2)C (-9,6,-3) are three points forming a triangle. AD, the bisector of angle BAC meets BC in D. Find the coordinates of the point D.

If A(-1, 6), B(-3, -9) and C(5, -8) are the vertices of a triangle ABC , find the equations of its medians.

The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are three vertices of a parallelogram ABCD. Find the vector equations of the sides AB and BC and also find the coordinates of point D.

The points A(4, 5, 10), B(2, 3, 4) and C (1, 2,-1) are three vertices of a parallelogram ABCD. Find the vector equations of the sides AB and BC and also find the coordinates of point D.

If A(2,2),B(-4,-4)a n dC(5,-8) are the vertices of a triangle, then the lengthof the median through vertex C is.

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD. Find the vector equations of side AB and BC and also find the coordinates of point D .