1.

If \[\omega \] is a complex number satisfying \[\left| \text{ }\omega +\frac{1}{\omega }\text{ } \right|=2\], then maximum distance of \[\omega \]from origin is

A. \[2+\sqrt{3}\]
B. \[1+\sqrt{2}\]
C. \[1+\sqrt{3}\]
D. None of these
Answer» C. \[1+\sqrt{3}\]


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