1.

If \[a=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}\] and \[b=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}\] then the value of \[\frac{{{a}^{2}}-ab+{{b}^{2}}}{{{a}^{2}}+ab+{{b}^{2}}}\]=?

A. \[\frac{61}{63}\]
B. \[\frac{67}{65}\]
C. \[\frac{65}{63}\]
D. \[\frac{69}{67}\]
Answer» B. \[\frac{67}{65}\]


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