If Δ(a, b, c, α)=0 for every α>0, then which one of the following is correct ? [NDA I 2023]

Correct Answer is : a,b,ca, b, ca,b,c are in GP

Correct Answer is : a,b,ca, b, ca,b,c are in GP

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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :

Let

\Delta(a,b,c,\alpha) = \begin{vmatrix} a & b & a\alpha+b \\ b & c & b\alpha+c \\ a\alpha+b & b\alpha+c & 0 \end{vmatrix}

[NDA I 2023]

Question : 51 of 120

Marks: +1, -0

\Delta(a, b, c, \alpha)=0

\alpha>0

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