If \( x^{2}+\frac{1}{x^{2}}=A \) and \( x-\frac{1}{x}=B \), where \( x \in R \) and \( B0 \), th...

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If \( x^{2}+\frac{1}{x^{2}}=A \) and \( x-\frac{1}{x}=B \), where \( x \in R \) and \( B0 \), then the minimum value of \( \frac{A}{B} \), is
(A) \( \sqrt{2} \)
(B) \( 2 \sqrt{2} \)
(C) \( \sqrt{2}+2 \)
(D) none of these
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