Find the coordinates of the point P on AD such that AP : PD = 2 : 1.

Let A(4,2), B(6,5) and C(1,4) be the vertices of Delta ABC (1) The median from A meets BC at D. Find the coordinates of the points D. (2) Find the coordinates of the points 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 : RE = 2 : 1 (4) What do you observe ? [Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2 : 1 ] (5) If A(x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3),y_(3)) are the vertices of Delta ABC find the coordinates of the centroid of the triangle

The points A(x_(1), y_(1)) , B(x_(2), y_(2)) and C(x_(3), y_(3)) are the vertices of Delta ABC and AD is a median in Delta ABC . Find the coordinates of a point G on median AD such that AG : GD = 2 : 1

If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7) AB.

If A and B are (-2, -2) and (2,-4) , respectively, find the coordinates of P such that AP = (3)/(7) AB and P lies on the line segment AB

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the ZX- plane.

Find the coordinates of the point where the line through (5, 1, 6) and (3, 4,1) crosses the YZ- plane.

Find the coordinates of the point where the line through (3, 4, 1) and (5, 1, 6) crosses XY-plane.

Find the coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY-plane.

Find the coordinates of the point which divides the join of (-1, -7) and (4,-3) in the ratio 2 : 3

Find the new coordinates of the point in each of the following cases if origin is shifted to the point (-3,-2) by translation of axes. (i) (1,1)