Find the ratio in which point A (4, 4) divides the segment joining P (0, 5) and Q (8,3)
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Given : point A (4, 4) divides the segment joining P (0, 5) and Q (8,3)
To Find : Ratio
Solution:
P (0, 5) and Q (8,3)
Ratio = m : n
4 = (8m +0*n)/(m + n) or 4 = (3m + 5n)/(m + n)
=> 4m + 4n = 8m
=> 4m = 4n
=> m = n
=> m/n = 1
=> m : n = 1 : 1
Hence point A (4, 4) divides the segment joining P (0, 5) and Q (8,3) in 1: 1 ratio
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