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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If ∣abaα−bbcbα−c210∣=0\left|\begin{array}{ccc}a & b & a \alpha-b \\ b & c & b \alpha-c \\ 2 & 1 & 0\end{array}\right|=0 and α≠1/2\alpha \neq 1 / 2, then a,b,ca, b, c are in
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Correct option: B
G.P.
Option B (G.P.) is correct because the determinant condition leads to the relationship ac=b2ac = b^2, which is the defining property of a geometric progression.

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