If [2sinx]+[cosx]=-3 then the range of t...

If `[2sinx]+[cosx]=-3` then the range of the function `f(x)=sinx+sqrt3cosx` in `[0, 2pi]` is, (where [.] denotes the greatest integer function)

A

`(0.2pi)`

B

(-2,-1)

C

(-1.-1/2)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

B

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Knowledge Check

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

A

f is everywhere continuous

B

f is everywhere differentiable

C

f is a constant function

D

none of the above

The function f(x) = [x]^2-[x^2] (where [.] denotes the greatest integer function ) is discontinuous at

A

all integers

B

all integers except 0 and 1

C

all integers except 1

D

all integers except 0

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