A) 8
B) - 8
C) 400
D) 1
Correct Answer: B
Solution :
\[\left| \,\begin{matrix} {{1}^{2}} & {{2}^{2}} & {{3}^{2}} \\ {{2}^{2}} & {{3}^{2}} & {{4}^{2}} \\ {{3}^{2}} & {{4}^{2}} & {{5}^{2}} \\ \end{matrix}\, \right|\]{Operate \[{{R}_{3}}\,\to {{R}_{3}}-{{R}_{2}}\],\[{{R}_{2}}\to {{R}_{2}}-{{R}_{1}}\]} = \[\left| \,\begin{matrix} 1 & 4 & 9 \\ 3 & 5 & 7 \\ 5 & 7 & 9 \\ \end{matrix}\, \right|\]\[=1(45-49)-4\,(27-35)+9\,(21-25)\] = \[-4+32-36=-8\].
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