The segment joining L(-2, 3) and N(4, -1) intersects the Y - axis in M.
Find the ratio LM : MN.
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Given : The segment joining L(-2, 3) and N(4, -1) intersects the Y - axis in M.
To Find : the ratio LM : MN.
Solution:
L = ( - 2 , 3)
N = ( 4 , - 1)
intersect Y axis at M
Hence M = ( 0 , y )
Let say LM : MN = 1 : k
=> (0 , y) divided LN in ratio 1 : k
=> 0 = ( 1 * 4 + k(-2))/(k + 1)
=> 0 = 4 - 2k
=> k = 2
Hence 1 : k = 1: 2
so LM : MN = 1 : 2
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