If \( a \in R \) and the roots of \( x^{2}-2 x-a^{2}+1=0 \) lies between the roots of \( x^{2}-2...

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If \( a \in R \) and the roots of \( x^{2}-2 x-a^{2}+1=0 \) lies between the roots of \( x^{2}-2(a+1) x+a(a-1)=0 \) then \( a \) belongs to
\( (a)(1, \infty) \)
(b) \( \left(-\frac{1}{4}, 1\right) \)
\( (c)(-\infty, 0) \)
(d) \( \left(-\infty,-\frac{1}{4}\right) \)
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