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If p,q,r,s are in A.P.and f(x)=|(p+sinx,...

If `p,q,r,s` are in A.P.and `f(x)=|(p+sinx,q+sinx,p-r+sinx),(q+sinx,r+sinx,-1+sinx),(r+sinx,s+sinx,s-q+sinx)|` such that `int_0^2 f(x) dx=-4` then the common difference of the A.P. can be : (A) 1 (B) 3/2 (C) -1 (D) 3

A

`+-1`

B

`1/2`

C

`+-2`

D

None of these

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