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UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow:
Let α and β be the roots of the equation x2−(1−2a2)x+(1−2a2)=0

[NDA II 2016]

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Question : 32

Total: 120

Under what condition is ‌‌

a2<
1
2
a2>
1
2
a2>1
a2∊(
1
3
,
1
2
) only

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