`A(4,\ 2),\ B(6,5)` and `C(1,\ 4)` are the vertices of ` 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. (iv) What do you observe? (v) If A(x_(1),y_(1)), B(x_(2),y_(2)) and C(x_(3),y_(3)) are the vertices of ∆ ABC, find the coordinates of the centroid of the triangle.

7. Let A (4, 2) B(6.,5) and C(1.,4). be the vertices of DeltaABC. (1) The median from A meets BC at D. Find the coordinates of the point D. (2) the coordinates of the point P on AD such that AP: PD= 2:1. (3) 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. (4) what do yo observe?

Find the coordinates of points A,B,C,D in Figure.

If A(4, 2), B(6, 5) and C(1, 4) be the vertices of Delta ABC and AD is a median, then the coordinates of D are

A(4,2),B(6,5) and C(1,4) are the vertices of ABC. Find the coordinates of point P on AD such that AP:PD=2:1.

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.

A (4,8), B(5,5), C(2,4) and D (1,7) are the vertices of the parallelogram . Find the coordinates of the point of intersection of its diagonals .

A(4,2), B(6,5) and C(1,4) are the vertices of triangle ABC Find coordinates of points P on AD such that AP : PD= 2: 1 .

A(3,4,6) , B(0,4,3) , C(a,6,b) are the vertices of a triangle ABC such that the median through A is equally inclined to the coordinate axes,then a+b is

If A(6,2),B(4,2)andC(6,4) are the vertices of DeltaABC , then find the length of the median through C.