If \( \alpha, \beta, \gamma, \delta \in R \) satisfy \( \frac{(\alpha+1)^{2}+(\beta+1)^{2}+(\gam... VIDEO
If \( \alpha, \beta, \gamma, \delta \in R \) satisfy \( \frac{(\alpha+1)^{2}+(\beta+1)^{2}+(\gamma+1)^{2}+(\delta+1)^{2}}{\alpha+\beta+\gamma+\delta}=4 \)
if biquadratic equation \( a_{0} x^{4}+a_{1} x^{3}+a_{2} x^{2}+a_{3} x+a_{4}=0 \) has
the roots \( \left(\alpha+\frac{1}{\beta}-1\right),\left(\beta+\frac{1}{\gamma}-1\right),\left(\gamma+\frac{1}{\delta}-1\right),\left(\delta+\frac{1}{\alpha}-1\right) \).
Then the value of \( \frac{a_{2}}{a_{0}} \) is
(a) 4
(b) -4
(c) 6
(d) None of these
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