Points of Trisection of a Line Segment, Section Formula
1. Find the coordinates of the point which divides the line segment joining the points A(4, −3) and B(9, 7) in the ratio 3:2.
2. In what ratio does the point P(2, −5) divide the line segment joining A(−3, 5) and B(4, −9) .
3. Find the coordinates of a point P on the line segment joining A(1, 2) and B(6, 7) in such a way that AP = 2/5 AB.
4. Find the coordinates of the points of trisection of the line segment joining the points A(−5, 6) and B(4, −3) .
5. The line segment joining A(6,3) and B(−1, −4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.
6. Using section formula, show that the points A(7, −5), B(9, −3) and C(13,1) are collinear.
7. A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (−2, −3) and (2,1) respectively, then find the coordinates of C.