Find the ratio in which ((2+a)/3,a)divides the join of(1,3)and(5,9).Also find the value of a
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Let the point divides (−3,1) and (−8,9) in ratio λ:1
Section Formula: If point (x,y) divides line joining two points in
(x
1
,y
1
) and (x
2
,y
2
) in ratio m:n internally
x=
m+n
mx
2
+nx
1
y=
m+n
my
2
+ny
1
−6=
λ+1
−8λ−3
−6λ−6=−8λ−3
2λ=3
λ=
2
3
a=
2
3
+1
2
3
×9+1
a=
5
29
Ratio =3:2 and a=
5
Section Formula: If point (x,y) divides line joining two points in
(x
1
,y
1
) and (x
2
,y
2
) in ratio m:n internally
x=
m+n
mx
2
+nx
1
y=
m+n
my
2
+ny
1
−6=
λ+1
−8λ−3
−6λ−6=−8λ−3
2λ=3
λ=
2
3
a=
2
3
+1
2
3
×9+1
a=
5
29
Ratio =3:2 and a=
5
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