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UPSC NDA II 2023 Mathematics Solved Paper

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Consider the following for the next two (02) items that follow :
A function is defined by
f(x)=x+1232x+4636x+9f(x)=\begin{vmatrix} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{vmatrix}
[NDA II 2023]
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