If z= ( 3 2 + i 2 )^ 5 + ( 3 2 - i 2 )^ 5 then
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If \(z=\left(\frac{\sqrt{3}}{2}+\frac{i}{2}\right)^{5}+\left(\frac{\sqrt{3}}{2}-\frac{i}{2}\right)^{5}\) then
- Re (z) = 0
- Im (z) = 0
- Re (z) > 0, Im (z) > 0
- Re (z) > 0, Im (z) < 0
Answer
(B) Im (z) = 0
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