Q.

The minimum value of the function f(x)=3tan x +4cot x where x∈(0,π2)  is

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a

7

b

212

c

62

d

12

answer is B.

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Detailed Solution

AM≥G.M             3tanx+4cotx2≥3tanx 4cotx             3tanx+4cotx≥212
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The minimum value of the function f(x)=3tan x +4cot x where x∈(0,π2)  is