Question

(3)Find the ratio in which point A(4,4) divides the
segment joining P(0,5) and Q(8,3) by filling the boxes.
Let P(X1,yı), Q(X2, yz) and A (x,y) be the given
points . Here,
X1= V1=5 , X2 = Y2=3 , x =4 ,y= 4
By section formula,
Y=
m+n
mm:n =​

Answer 1

Answer:

Let the required ratio be m:n

Given (x

1

,y

1

)=(2,1)(x

2

,y

2

)=(7,6) and (x,y)=(5,4)

By section formula,

x=

m+n

mx

2

+nx

1

5=

m+n

m(7)+n(2)

5=

m+n

7m+2n

5m+5n=7m+2n

5m−7m+5n−2n=0

−2m+3n=0

−2m=−3n

n

m

=

2

3

m:n =3:2.

y=

m+n

my

2

+ny

1

4=

m+n

m(6)+n(1)

4=

m+n

6m+n

4m+4n=6m+n

4m−6m+4n−n=0

−2m+3n=0

−2m=−3n

n

m

=

2

3

m:n =3:2.

Answer 2

Step-by-step explanation:

the ratio of the m:n is 1:1