A) \[\left| \,\begin{matrix} 9 & 3 & 4 \\ 10 & 9 & 3 \\ 11 & 10 & 5 \\ \end{matrix}\, \right|\div \left| \,\begin{matrix} 2 & 3 & 4 \\ 4 & 9 & 3 \\ 5 & 10 & 5 \\ \end{matrix}\, \right|\]
B) \[\left| \,\begin{matrix} 9 & 4 & 3 \\ 10 & 3 & 9 \\ 11 & 5 & 10 \\ \end{matrix}\, \right|\div \left| \,\begin{matrix} 2 & 3 & 4 \\ 4 & 9 & 3 \\ 5 & 10 & 5 \\ \end{matrix}\, \right|\]
C) \[\left| \,\begin{matrix} 9 & 4 & 9 \\ 10 & 3 & 3 \\ 11 & 5 & 10 \\ \end{matrix}\, \right|\div \left| \,\begin{matrix} 3 & 2 & 4 \\ 9 & 4 & 3 \\ 10 & 5 & 5 \\ \end{matrix}\, \right|\]
D) None of these
Correct Answer: A
Solution :
By Cramer?s Rule, \[x=\frac{{{D}_{1}}}{D}\], \[\therefore \](a) is the correct option.
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