Consider the following statements : 1. (\omega^{10}+1) ^7+\omega=0 2. (\omega^{105}+1) ^{10}=p^{10} for some prime number p where \omega \neq 1 is a cubic root of unity. Which of the above statements is/are correct?

UPSC NDA 2 2012 Mathematics Paper

Question : 4 of 120

Marks: +1, -0

Consider the following statements :
1. (ω10+1)7+ω=0
2. (ω105+1)10=p10 for some prime number p
where ω≠1 is a cubic root of unity.
Which of the above statements is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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