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Q.

The minimum value of 2sinx+2cosx is:

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a

21−2

b

2−1+2

c

2−1+12

d

21−12

answer is D.

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Detailed Solution

2sinx+2cosx use AM≥GM2sinx+2cosx2≥2sinx+cosx2sinx+2cosx≥2.2sinx+cosx2     ≥2.2-12 (min of sinx+cosx is -2)
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The minimum value of 2sinx+2cosx is: