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UPSC NDA I 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
Let ∆(a,b,c,α)=|
abaα+b
bcbα+c
aα+bbα+c0
|
[NDA I 2023]
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Question : 52 of 120
 
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If ∆(7,4,2,α)=0, then α is a root of which one of the following equations?
[NDA I 2023]
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