Quantitative Aptitude Algebra Identities

If x +\(\rm \frac{1}{x}\) = 1, then the value of \(\frac{x^2+7x+1}{x^2+11x+1}\) = ?

1
\(\frac{3}{4}\)
2
\(\frac{2}{3}\)
3
\(\frac{1}{3}\)
4
\(\frac{1}{4}\)

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