Let C(-1, 6) divides the line segment AB in the ratio m:n
Here, (x, y) = (-1, 6); (x1, y1) = (-3, 10) and (x2, y2) = (6, -8)
⇒ -m – n = 6m - 3n and 6m + 6n = -8m + 10n
⇒ -m – 6m – n + 3n = 0 and 6m + 8m + 6n – 10n = 0
⇒ -7m + 2n = 0 and 14m - 4n = 0
⇒ 2n = 7m and 4n = 14m
⇒ 7m = 2n
⇒ m/n = 2/7
Hence, the ratio is 2:7 and the division is internal.