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If f(x)=(a sin x+b cosx)/(c sinx+dcosx) ...

If `f(x)=(a sin x+b cosx)/(c sinx+dcosx)` is decreasing for all `x`, then

A

`ad-bcgt0`

B

`ad-bclt0`

C

`ab-cdgt0`

D

`ab-cdlt0`

Text Solution

Verified by Experts

The correct Answer is:
B
Given `f(x)=(a sin x+b cos x)/(c sin x+d cos x)`
`impliesf'(x)=((ad-bc))/((c sinx + d cos x)^(2))`
For decreasign function
`f'(x)lt0impliesad-bclt0`
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