Question

Find the co-ordinate of a point p on line segment joining a 1 to 20 7 such that a b is equal to 2 by 5ab

Answer 1

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Since,

AP=

5

2

AB

⇒5AP=2(AP+PB)

⇒5AP=2AP+2PB

⇒3AP=2PB

⇒

PB

AP

=

3

2

⇒AP:PB=2:3

Therefore,

(x,y)=(

2+3

2×6+3×1

,

2+3

2×7+3×2

)

=(

5

15

,

5

20

)

=(3,4)

So, coordinates of point P is (3,4)