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Question

If $a$, $b$, and $c$ are in A.P., then the value of $ \begin{vmatrix} x+2 & x+3 & x+a \\ x+4 & x+5 & x+b \\ x+6 & x+7 & x+c \\ \end{vmatrix} $ is

x - (a + b + c)

9x$^{2}$ + ab + c

0

a + b + c

Solution

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