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UPSC NDA I 2010 Mathematics Paper

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Question : 60

Total: 120

If α,β are the roots of the quadratic equation x2−x+1=0, then which one of the following is correct?

(α4−β4) is real
2(α5+β5)=(αβ)5
(α6−β6)=(αβ)5
(α8+β8)=(αβ)8

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