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If the equation cos 2x+alpha sinx=2alpha...

If the equation `cos 2x+alpha sinx=2alpha-7` has a solution. Then range of `alpha` is (A) `R` (B) `[1,4]` (C) `[3,7]` (D) `[2,6]`

A

`[1,4]`

B

`[2,6]`

C

`[3,7]`

D

`R`

Text Solution

Verified by Experts

The correct Answer is:
B
`7+cos 2x=alpha(2-sinx)`
`8-2sin^(2)x=alpha(2-sinx)`
`alpha=2(2+sinx)`
`alpha epsilon [2,6]`
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