A) \[2+\sqrt{3}\]
B) \[1+\sqrt{2}\]
C) \[1+\sqrt{3}\]
D) None of these
Correct Answer: B
Solution :
Since maximum distance of any complex number \[\omega \] from origin is given by \[|\omega |\] therefore, \[|\omega |\,=\left| \,\omega +\frac{1}{\omega }-\frac{1}{\omega }\, \right|\,\,\le \left| \omega +\frac{1}{\omega } \right|\,+\left| \frac{1}{\omega } \right|=2+\frac{1}{|\omega |}\] Þ \[|\omega {{|}^{2}}-2|\omega |-\,1\le 0\] Þ \[|\omega |\le \frac{2\pm 2\sqrt{2}}{2}\] Hence max \[|\omega |\]is\[1+\sqrt{2}\].
You need to login to perform this action.
You will be redirected in
3 sec
