A) 2
B) \[\omega \]
C) \[2\omega \]
D) \[2{{\omega }^{2}}\]
E) \[a+b+c\]
Correct Answer: C
Solution :
\[\frac{a\omega +b+c{{\omega }^{2}}}{a{{\omega }^{2}}+b\omega +c}+\frac{a{{\omega }^{2}}+b+c\omega }{a+b\omega +c{{\omega }^{2}}}\] \[=\frac{1}{\omega }\left[ \frac{a{{\omega }^{2}}+b\omega +c{{\omega }^{2}}}{a{{\omega }^{2}}+b\omega +c} \right]+{{\omega }^{2}}\left[ \frac{a{{\omega }^{2}}+b+c\omega }{a{{\omega }^{2}}+b{{\omega }^{3}}+c{{\omega }^{4}}} \right]\] \[=\frac{1}{\omega }+{{\omega }^{2}}=2{{\omega }^{2}}\]
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