what is the value of r for whichthe point (5,7) lies on the line 3x+r=0
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Answer:
Given that point divides the line segment joining the points A(3,2) and B(5,1) in the ratio 1:2
The coordinate of P is ,
By section formula
(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
here m:n =1:2,(x
1
,y
1
)=(3,2)and(x
2
,y
2
)=(5,1)
∴ (
1+2
1×5+2×3
,
1+2
1×1+2×2
)=(
3
11
,
3
5
)
3(
3
11
)−18(
3
5
)+K=0
K−19=0 ⇒ K=19
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