A) 3
B) 9
C) 10
D) 13
Correct Answer: C
Solution :
Apply \[{{R}_{3}}\to {{R}_{3}}-{{R}_{1}},\] We get \[\Delta =\left| \begin{matrix} 1 & 3\cos \theta & 1 \\ \sin \theta & 3\cos \theta & 3\cos \theta \\ 0 & \sin \theta -3\cos \theta & 0 \\ \end{matrix} \right|\,={{(3\cos \theta -\sin \theta )}^{2}}\] So, maximum value of \[\Delta \] equals 10.You need to login to perform this action.
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