\eqalign{ & {\text{If}}\,x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}\,{\text{and}}\,y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {{x^2} + {y^2}} \right)\,{\text{is}}: \cr} $$

\eqalign{ & {\text{If}}\,x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}\,{\te

1.	\eqalign{ & {\text{If}}\,x = \frac{{\sqrt 3 + 1}}{{\sqrt 3 - 1}}\,{\text{and}}\,y = \frac{{\sqrt 3 - 1}}{{\sqrt 3 + 1}}, \cr & {\text{then}}\,{\text{the}}\,{\text{value}}\,{\text{of}}\,\left( {{x^2} + {y^2}} \right)\,{\text{is}}: \cr} $$
A.	10
B.	13
C.	14
D.	15
Answer» D. 15