What is the ratio of division of the line segment AB by the point P from A ?

Direction ratio of the line segment joining two points

In the figure P(3, 2) is the mid-point of the line segment AB. What are the co-ordinates of A and B respectively:

The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2:1 is

Plot the points A(1,-1) and B(4,5). (i) Draw the line segment joining these points. Write the coordinates of a point on this line segment betwee the points A and B. (ii) Extend this line segment and write the coordinates of a point on this line which lies outside the line segment AB.

In what ratio does the origin divides the line segment joining the points P(-1,-2,-3) and Q(4,8,12).

In what ratio does the origin divides the line segment joining the points P(-1,-2,-3) and Q(4,8,12).

In what ratio does the x-axis divide the line segment joining the points (-4,-6) and (-1,7)? Find the co-ordinates of the point of division.

In what ratio does the X -axis divide the line segment joining the points (-4,-6) and (-1,7) ? Find the coordinates of the points of division.

In what ratio does the point P(-4, y) divide the line segment joining the point A(-6, 10) and B(3, -8) if it lies on AB. Also, find the value of y.

If the points A(3,0,p),B(-1,q,3) and C(-3,3,0) are collinear, then find (1) the ratio in which the points C divides the line segment AB (2) the value of p and q.