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If [2 cos x ] + [sin x]=-3, then the ra...

If `[2 cos x ] + [sin x]=-3`, then the range of the function, `f (x)=sin x +sqrt3 cosx` in `[0, 2pi]` (where [ ] denotes greatest integer function)

A

`[-sqrt(3),sqrt(3))`

B

`[-2,-sqrt(3)]`

C

`[-3,-1]`

D

`[-2,-sqrt(3)]`

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The correct Answer is:
B, C, D

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