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If both the distinct roots of the equati...

If both the distinct roots of the equation `|sinx|^2+|sinx|+b=0in[0,pi]` are real, then the values of `b` are `[-2,0]` (b) `(-2,0)` `[-2,0]` (d) `non eoft h e s e`

A

`[-2, 0]`

B

`(-2, 0)`

C

`[-2, 0)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Given that `|sin x|^(2)+|sin x|+b=0`
`rArr |sin x|=(-1 pm sqrt(1-4b))/2`
`rArr 0 le (-1 pm sqrt(1-4b))/2 lt 1" "rArr -2 lt b lt 0`
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