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Question

If $\begin{vmatrix} x+1 & x+2 & x+\alpha \\ x+2 & x+3 & x+\beta \\ x+3 & x+4 & x+\gamma \end{vmatrix} = 0$, then $\alpha, \beta, \gamma$ are

in A.P.

in G.P.

in H.P.

equal

Solution

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