Q33 of 149 Page 14

If A and B are (1, 4) and (5, 2) respectively, find the coordinates of P when AP/BP = 3/4.

Given points are A(1, 4) and B(5, 2). Let P be (x, y) and given ratio is 3:4.



By section formula,


x = , y =


For point P on AB,


x = , y =


x = and y =


Hence, required coordinates is P( , )


More from this chapter

All 149 →
31

Show that the mid-point of the line segment joining the points (5, 7) and (3, 9) is also the mid-point of the line segment joining the points (8, 6) and (0, 10).

 32

Find the distance of the point (1, 2) from the mid-point of the line segment joining the points (6, 8) and (2, 4).

 34

Show that the points A (1, 0), B (5, 3), C (2, 7) and D (-2, 4) are the vertices of a parallelogram.

 35

Determine the ratio in which the point P (m, 6) divides the join of A(-4, 3) and B(2, 8). Also, find the value of m.