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Algebra Level 5

Roots of the equation below lie in the argand diagram on?

\[\large 1+{ n \choose 1 } z+ { n \choose 2} z^{2}+ \ldots + { n \choose n-1} z^{n-1}=0 \]

Details and Assumptions

\( {A \choose B} = \frac {A!}{ (A-B)! \ B!} \) is a binomial coefficient with \(A \geq B \geq 0 \)

This problem is part of my set Some jee problems


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