QJEEAdv03Ma3a59: JEE Advanced 2003 Mathematics - Class 11 JEEAdv03Ma3a59 Solution: Prove that there exists no complex number z such that

Question

Verified Solution • 2025–26 Session moderate

Prove that there exists no complex number z such that

| z | < \frac{1}{3} a n d \sum_{r = 1}^{n} a_{r} z^{r} = 1

where

| a_{r} | < 2

.

Accepted Answer

Answer

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