Mark the correct alternative in each of the following: If \( \alpha, \beta \) are the roots of t...
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0Mark the correct alternative in each of the following:
If \( \alpha, \beta \) are the roots of the equation \( x^{2}+p x+1=0 ; \gamma, \delta \) the roots of the equation \( x^{2}+q x+1=0 \), then \( (\alpha-\gamma)(\alpha+\delta)(\beta-\gamma)(\beta+\delta)= \)
(A) \( q^{2}-p^{2} \)
(B) \( p^{2}-q^{2} \)
(C) \( p^{2}+q^{2} \)
(D) none of these
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