The value of ( 1+i 3 1-i 3 )^ 6 + ( 1-i 3 1+i 3 )^ 6 is
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
The value of \(\left(\frac{1+i \sqrt{3}}{1-i \sqrt{3}}\right)^{6}+\left(\frac{1-i \sqrt{3}}{1+i \sqrt{3}}\right)^{6}\)is
- \(\frac{419}{999}\)
- \(\frac{423}{999}\)
- \(\frac{423}{100}\)
- none
Answer
(B) 423 999
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