The equation \( x^{2}+a x-a^{2}-1=0 \) will have roots of opposite signs if (A) \( a \in(-\infty...

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The equation \( x^{2}+a x-a^{2}-1=0 \) will have roots of opposite signs if
(A) \( a \in(-\infty, \infty) \)
(B) \( a \in[-1,1] \)
(C) \( a \in(-\infty,-1) \cup[1, \infty) \)
(D) None of these
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