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In the figure shown, ABCDEF is a regular...

In the figure shown, ABCDEF is a regular hexagon. What is the value of `AB+AC+AD+AE+AF`?

A

AO

B

2AO

C

4AO

D

6AO

Text Solution

Verified by Experts

The correct Answer is:
D
(d) `AB+ AC+ AD+ AE+ AF `
`AB+(AB+BC)+(AB+BC+CD)+(AB+BC+CD+DE)+AF`
`=AB+(AB+BC+CD+DE+EF)+AB+BC+CD+DE+EF`
`AB=-DE,BC=-EF=3(AB+BC+CD)=3AD=6AO`
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