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Let f(x)=a sin x+c, where a and c are re...

Let `f(x)=a sin x+c`, where a and c are real numbers and a>0. Then `f(x)lt0, AA x in R` if

A

`c lt -a`

B

`c gt -a`

C

`-a lt c lt a`

D

`c lt a`

Text Solution

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The correct Answer is:
A
a `sin x + c lt 0, AA x in R`
`rArr sin x lt - (c )/(a)`
`rArr -(c )/(a)gt sin x, AA x in R`
`rArr -(c )/(a)gt 1`
`rArr -c gt a`
`rArr c lt -a`
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