Question

Find the ratio in which (a, 2) divides the line joining the points (6, -2) & (-3, 16).
Also find ‘a’.

Answer 1

Answer:Let P divide the line joining A and B and let it divide the segment in the ratio k: 1

Now, using the section formula for the y – coordinate we have

2 = (-3k + 5)/ (k + 1)

2(k + 1) = -3k + 5

2k + 2 = -3k + 5

5k = 3 k = 3/5

Thus, P divides the line segment AB in the ratio of 3: 5

Using value of k, we get the x – coordinate as x = 12 + 60/ 8 = 72/8 = 9 Therefore, the coordinates of point P is (9, 2)