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If f: R toS, defined by f(x) = sin x -sq...

If `f: R toS`, defined by `f(x) = sin x -sqrt(3) cos x + 1`, is onto then the interval of S, is

A

`[0,3]`

B

`[-1,1]`

C

`[0,1]`

D

`[-1,3]`

Text Solution

Verified by Experts

The correct Answer is:
D
`sinx-sqrt(3)cosx=2sin(x-(pi)/(3))`
Since, `" "-2le2sin(x-(pi)/(3))le2`
`implies" "-1le1+2sin(x-(pi)/(3))le3`
`:.` Range of `S=[-1,3]`
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