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Meaning of Ratio

The Line Segm...

Question

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, is the Length of AP.

6 cm

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8 cm

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10 cm

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Solution

The correct option is B 8 cm
Let AP be 4 parts and AB be 11 parts

PB = AB - AP = 11 - 4= 7 parts

Given that PB = 14 cm

$∴$ 1 part = $\frac{14}{7}$ = 2

Length of AP = 4 parts = 4 $\times$ 2 = 8 cm

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