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In the given diagram, river PQ is just p...

In the given diagram, river PQ is just perpendicular to the national highway AB. At a point B highway just turns at right angle and reaches to C. PA= 500 m and BQ = 700 m and width of the uniformly wide river i.e., PQ) is 300m. Also BC = 3600 m. A bridge has to be constructed across the river perpendicular to its stream in such a way that a person can reach from A to C via bridge covering least possible distance. PQ is the widthness of the river, then what is the minimum possible required distance from A to C including the length of bridge?

A

4100 m

B

3900 m

C

`3000 sqrt2` m

D

none of these

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A
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