line formed by joining (-1 ;1) and (5;7) is divided by a line x+y=4 in the ratio of?
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Answer:
Ratio= 1:2
Step-by-step explanation:
Let the ratio be k:1
Coordinates of P= [k (5)+1 (-1) /k+1, k (7)+1 (1) /k+1]
= (5k-1 /k+1, 7k+1 /k+1)
The coordinates of P must satisfy the equation x+y=4.
Putting the values of x and y coordinates,
5k-1/k+1 + 7k+1/k+1 =4
12k/ k+1=4
12k= 4k+4
8k=4
k=1/2
k=1:2
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