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The range of f(x)=[|sin x|+|cosx"|""]"do...

The range of `f(x)=[|sin x|+|cosx"|""]"dot` Where [ ] denotes the greatest integer function, is {0} (b) {0,1} (c) {1} (d) none of these

A

{0}

B

{0, 1}

C

{1}

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`y=|sinx|+|cosx|`
or ` y^(2)=1+|sin2x|`
or `1 le y^(2) le 2`
or ` y in [1, sqrt(2)]`
or `f(x) =1 AA x in R`
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