Q.

The min. value of 2sinx+2cosx=

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a

1

b

21−12

c

21/3

d

0

answer is B.

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Detailed Solution

We have2sinx+2cosx2≥2sinx·2cosx      ∵AM≥GM                    ≥2sinx+cosx2                     ≥2-22                      ≥2-12  ⇒2sinx+2cosx≥2.2-12                            ≥21-12
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