A) \[\frac{21}{346}\]
B) \[\frac{29}{358}\]
C) \[\frac{1}{12}\]
D) \[\frac{7}{116}\]
Correct Answer: C
Solution :
\[375{{x}^{2}}-25x-2=0\] \[\alpha +\beta =\frac{25}{375},\alpha \beta =\frac{-2}{375}\] \[\Rightarrow \](\[\alpha +{{\alpha }^{2}}+...\]upto infinite terms) \[+(\beta +{{\beta }^{2}}+...\]upto infinite terms) \[=\frac{\alpha }{1-\alpha }+\frac{\beta }{1-\beta }=\frac{1}{12}\]You need to login to perform this action.
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