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if allvalues of x which satisfies the inequality `log _((1//3))(x ^(2) +2px+p^(2) +1) ge 0` also satisfy the inequality `kx ^(2)+kx- k ^(2) le 0` for all real values of k, then all possible values of p lies in the interval :

A

`[-1,1]`

B

`[0,1]`

C

`[0,2]`

D

`[-2,0]`

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A, B, C
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