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If a_1 , a_2 and a_3 are three numbers satisfying a_1^2 + a_2^2 +a_3^2 = 1 , then the maximum value of(4a_1- 3a_2)^2 + (5a_2- 4a_3)^2+ (3a_3 - 5a_1)^2 is k, then [ (k)/(14)]is equal to (where [.] denotes the greatest integer function)

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Answer :C


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