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Q.

Twelve persons are initially at the twelve corners of a regular polygon of twelve sides of side a. Each person now moves with uniform speed V in such a manner that 1 is always directed towards 2, 2 towards 3, 3 towards 4 and so on. The distance travelled by each person before they meet is 

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a

2a2+3

b

2a23

c

a2+3

d

2a3

answer is B.

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Detailed Solution

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θ=π2(π2πn2)      =2πn

Here n = 12 
θ=2π12=π6
Velocity of approach = V – V cos π6=V32V
Time of approach  =aV(132)
Distance travelled =(2a23)

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