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Question
If $$x = \frac{{\sqrt 5 + 1}}{{\sqrt 5 - 1}}$$   and $${\text{y}} = \frac{{\sqrt 5 - 1}}{{\sqrt 5 + 1}}{\text{,}}$$   then the value of $$\frac{{{x^2} + xy + {y^2}}}{{{x^2} - xy + {y^2}}}$$   is?
Options:
A .  $$\frac{3}{4}$$
B .  $$\frac{5}{3}$$
C .  $$\frac{4}{3}$$
D .  $$\frac{3}{5}$$
Answer: Option C

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