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If z is a complex number such that |z|=1, prove that z−1z+1 is purely imaginary. What will be your conclusion if z = 1?

If z is a complex number such that |z|=1, prove that z−1z+1 is purely imaginary.
What will be your conclusion if z = 1?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
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