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UPSC NDA 2 2012 Mathematics Paper

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Question : 4

Total: 120

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

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