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UPSC NDA II 2025 Mathematics Paper

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Question Numbers: 21-22
For the following two (02) items:
Let α and β be the roots of the quadratic equation
(x2+(log0.5⁡(α2))x+(log0.5⁡(α2))4=0..
where a2≠1 and log0.5⁡(α2)>0 Further, β2=α(logα2⁡(0.5))
 
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