KVPY SX SB Exam 2018 Question Paper

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Question : 90 of 120

Marks: +1, -0

Suppose z is any root of

11z^8 + 20iz^7 + 10iz -22 = 0

, where

i = √{−1}

. Then

S = |z|^2 + |z| + 1

satisfies

S ≤ 3
3 < S < 7
7 ≤ S < 13
S ≥ 13

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