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If cos^2x-(c-1)cosx+2cgeq6 for every x i...

If `cos^2x-(c-1)cosx+2cgeq6` for every `x in R ,` then the true set of values of `c` is `(2,oo)` (b) `(4,oo)` (c) `(-oo,-2)` (d) `(-oo,-4)`

A

`[2,oo)`

B

`[4,oo)`

C

(-oo,-2]`

D

(-oo,-4]`

Text Solution

Verified by Experts

The correct Answer is:
B
`cos^2x-(c-1)cosx+2cge6AAx in R`
`rArr (cosx-2)(cosx-AAx in R)`
`rArrcosxlec-3`
`rArrc-3ge1`
`rArrc in[4,oo)`
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