Q15 of 184 Page 10

Find the ratio in which the line segment joining (-3,10) and (6,-8) is divided by (-1,6)

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)


So,


⇒ -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



Hence, the ratio is 2:7 and the division is internal.


More from this chapter

All 184 →
15

Find the ratio in which (-8,3) divides the line segment joining the points (2,-2) and (-4,1).

 15

In what ratio does the point (-4,6) divide the line segment joining the point A(-6,10) and B (3,-8)?

 15

Find the ratio in which the line segment joining (-3,-4) and (3,5) is divided by (x,2). Also, find x.

 16

In what ratio does the x-axis divide the line segment joining the points (2,-3) and (5,6).