A) \[5\operatorname{Im}(\omega )<1\]
B) \[4\operatorname{Im}(\omega )>5\]
C) \[5Re(\omega )>1\]
D) \[5Re(\omega )>4\]
Correct Answer: C
Solution :
\[\left| z \right|<1\] \[5\omega (1-z)=5+3z\] \[5\omega -5\omega z=5+3z\] \[z=\frac{5\omega -5}{3+5\omega }\] \[|z|=5\left| \frac{\omega -1}{3+5\omega } \right|<1\] \[5|\omega -1|<|3+5\omega |\] \[5|\omega -1|<5\left| \omega +\frac{3}{5} \right|\] \[|\omega -1|<5\left| \omega -\left( -\frac{3}{5} \right) \right|\]You need to login to perform this action.
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