The ratio in which B divides the line segment joining A and C is
point A(4,-3)
point B(7,3)
point C(8,5)
Answers
Given :
point A(4,-3)
point B(7,3)
point C(8,5)
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 - 3n
=> 2m = 6n
=> m/n = 3
=> m : n = 3 : 1
Hence point B divided A and C in 3 :1 Ratio
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