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If p,q,r and s are in AP and f(x) =|{:...

If p,q,r and s are in AP and f(x) =`|{:(p+sinx,q+sinx,q-r+sinx),(q+sinx,r+sinx,-1+sinx),(r+sinx,s+sinx,s-q+sinx):}|` such that
`int_(0)^(1)`f(x) dx =-2, the common difference of the AP can be

A

-1

B

`1//2`

C

1

D

2

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