A) An imaginary number
B) A prime number
C) A positive integer
D) A negative integer
Correct Answer: D
Solution :
Note that \[m=\omega \](cube root of unity) |
\[{{(1-\omega )}^{2}}\,\,{{(\omega -{{\omega }^{2}})}^{2}}\,\,{{(1-{{\omega }^{2}})}^{2}}\] |
\[=(1+{{\omega }^{2}}-2\omega )\,\,({{\omega }^{2}}+{{\omega }^{4}}-2)\,\,(1+{{\omega }^{4}}-2{{\omega }^{2}})\] |
\[=(-\,3\omega )\,\,(-\,3)\,\,(-\,3{{\omega }^{2}})=-\,27\] |
You need to login to perform this action.
You will be redirected in
3 sec