The ratio in which B divides the line segment joining A and C is
Answers
Given : point A(4,-3) point B(7,3) point C(8,5)https://brainly.in/question/46346977 for complete Question
To Find : The ratio in which B divides the line segment joining A and C is
Solution:
Let say point B divided A and C in m:n ratio
A(4,-3) C(8,5)
7 = ( 8m + 4n)/(m + n) or 3 = (5m -3n)/(m + n)
7m + 7n = 8m + 4n
m = 3n
m/n = 3
m : n = 3 : 1 or
3 = (5m -3n)/(m + n)
3m + 3n = 5m - 3
2m = 6n
m/n = 3
m : n = 3 : 1
Hence point B divided A and C in 3 :1 Ratio
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