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The minimum value of 3tan^2θ + 12 cot^2θ is

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The minimum value of 3tan2θ + 12 cot2θ is

(A)  6

(B)  8

(C)  10

(D)  None of these

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 Correct option (D) None of these

A.M. ≥ G.M ⇒ 1/2 (3tan2θ +12 cot2θ) ≥ 6

⇒ 3 tan2 θ +12cot2θ has minimum value 12. 

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