ofthedigi3,ueelueuits digits. If the differenceIn what ratio does the

1.	ofthedigi3,ueelueuits digits. If the differenceIn what ratio does the x-axis divide the line segment joining the points (-4-6) and ( 1co-ordinates of the point of division.? Find the16.ORnoth of the altitude of
Answer» Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in theratio 1 : k. Now, coordinates of point of division P are x coordinate = (-1 - 4k) / (k + 1) y coordinate = (7 - 6k) / (k + 1) Since P lies on x-axis, thereforey coordinate = 0 (7 - 6k) / (k + 1) = 0 7 - 6k = 0 k = 7/6 Hence, the ratio is 1:7/6 = 6:7 Now, the coordinates of P are (-34/13, 0)

ofthedigi3,ueelueuits digits. If the differenceIn what ratio does the x-axis divide the line segment joining the points (-4-6) and ( 1co-ordinates of the point of division.? Find the16.ORnoth of the altitude of

Answer»

Let x-axis divides the line segment joining (–4, –6) and (–1, 7) at the point P in theratio 1 : k.

Now, coordinates of point of division P are

x coordinate = (-1 - 4k) / (k + 1)

y coordinate = (7 - 6k) / (k + 1)

Since P lies on x-axis, thereforey coordinate = 0

(7 - 6k) / (k + 1) = 0

7 - 6k = 0

k = 7/6

Hence, the ratio is 1:7/6 = 6:7

Now, the coordinates of P are (-34/13, 0)