The line segment AB with a point P on it is given in the figure as :
If AP : AB = 4 : 11 and length of line segment PB = 14 cm, find the length of AP.
A
6 cm
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B
8 cm
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C
9 cm
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D
10 cm
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Solution
The correct option is B 8 cm Length of AP = 4 parts
Length of AB = 11 parts
Then Length of PB = 11 - 4 = 7 parts
Given PB = 14 cm
7 parts = 14 cm
One part of the ratio = 14 / 7
= 2
Then length of AP = 4 x 2 = 8 cm