Question

14 ) If point R(-4,6 ) divides the line segment PS with P(-6, 10 ) and S (a b) in the ratio 2:1, find the co- ordinates of S.​

Answer 1

Answer:

S=4

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

)

& for mid points we have, m:n=1:1.

Therefore, we have

(−4,6)=(

2+1

2r−6

,

2+1

25+10

)

⇒

3

2r−6

=−4

3

25+10

=6

⇒2r−6=−12,25+10=18

⇒2r=−12+6,2s=18−10

⇒2r=−6,2s=8

∴r=−3,s=4