1/11 divide the equation line by line
Answers
Answered by
0
Step-by-step explanation:
Suppose the line x+y=4 divides the join of A(−1,1) and B(5,7) in the ratio λ:1.
The coordinates of the point of division are (λ+15λ+1,λ+17λ+1). It lies on x+y=4.
Therefore,
λ+15λ−1+λ+17λ+1=4
5λ−1+7λ+1=4(λ+1)
12λ=4λ+4
8λ=4
λ=21
Hence, the required ratio is 1:2.
Answered by
0
Answer
Suppose the line x+y=4 divides the join of A(−1,1) and B(5,7) in the ratio λ:1.
The coordinates of the point of division are (
λ+1
5λ+1
,
λ+1
7λ+1
). It lies on x+y=4.
Therefore,
λ+1
5λ−1
+
λ+1
7λ+1
=4
5λ−1+7λ+1=4(λ+1)
12λ=4λ+4
8λ=4
λ=
2
1
Hence, the required ratio is 1:2.
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