If \[{{\left( \mathbf{a+}\frac{\mathbf{1}}{\mathbf{a}}\mathbf{~} \right)}^{\mathbf{2}}}\mathbf{=3}\], then the value of \[{{\mathbf{a}}^{\mathbf{206}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{200}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{90}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{84}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{18}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{12}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{6}}}\mathbf{+1}\]is

If \[{{\left( \mathbf{a+}\frac{\mathbf{1}}{\mathbf{a}}\mathbf{~} \righ

1.	If \[{{\left( \mathbf{a+}\frac{\mathbf{1}}{\mathbf{a}}\mathbf{~} \right)}^{\mathbf{2}}}\mathbf{=3}\], then the value of \[{{\mathbf{a}}^{\mathbf{206}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{200}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{90}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{84}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{18}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{12}}}\mathbf{+}{{\mathbf{a}}^{\mathbf{6}}}\mathbf{+1}\]is
A.	0
B.	1
C.	84
D.	206
Answer» B. 1

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