UPSC NDA 2 2016 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow:
2x2+3x−α−0 has roots −2 and β while the equation x2−3mx+2m2=0 has both roots positive, where α>0 and β>0
[NDA II 2016]
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Question : 39 of 120
 
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‌ What is the value of ‌α‌ ? ‌
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