1.

If\[x=2.\overline{3}-0.\overline{9},\,y=2.\overline{5}-0.\overline{5},\]then \[{{x}^{2}}+{{y}^{2}}-2xy\] is

A. \[\frac{1}{4}\]
B. \[\frac{1}{3}\]
C. \[\frac{1}{2}\]
D. \[\frac{1}{5}\]
Answer» B. \[\frac{1}{3}\]


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