Question

If the point P divides the line segment AB in the ratio 3 : 5 then AP : AB is

Answer 1

Answer:

Point A lies on x-axis. So, its co-ordinates can be taken as A (x,0).

Point B lies on y-axis. So, its co-ordinates can be taken as B be (0,y).

And, P divides AB in the ratio 2:5. (Given)

Now, we have

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

5=

2+5

2×0+5×x

5=

7

5x

x=7

Hence, the co-ordinates of point A are (7,0).

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

−4=

2+5

2×y+5×0

−4=

7

2y

−2=

7

y

y=−14

Hence, the co-ordinates of point B are (0,−14)

Step-by-step explanation:

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