If z is any complex number such that z+ 1 z =1, then the value of z^ 99 + 1 z^ 99 is
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If z is any complex number such that \(z+\frac{1}{z}=1,\)then the value of \(z^{99}+\frac{1}{z^{99}}\) is
- \(1\)
- \(-1\)
- \(-2\)
- \(2\)
Answer
(C) -2
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