If then 4+5 (- 1 2 + i 3 2 )^ 334 -3 ( 1 2 + i 3 2 )^ 365 is equal to
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If 
then
\(4+5\left(-\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2}\right)^{334}-3\left(\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2}\right)^{365}\)
is equal to
then \(4+5\left(-\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2}\right)^{334}-3\left(\frac{1}{2}+\mathrm{i} \frac{\sqrt{3}}{2}\right)^{365}\)
is equal to
- \(1-\mathrm{i} \sqrt{3}\)
- \(-1+i \sqrt{3}\)
- \(4 \sqrt{3} \mathrm{i}\)
- \(-\mathrm{i} \sqrt{3}\)
Answer
(C) 4 3 i
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