A) \[[1,\,\,2]\]
B) \[[-1,\,\,1]\]
C) \[[1,\,\,\infty ]\]
D) \[[{{2}^{-1/2}},\,\,{{2}^{1/2}}]\]
Correct Answer: B
Solution :
For non-trivial solution, \[\Delta =\left| \begin{matrix} \sqrt{2}a & \sin B & \cos B \\ 1 & \cos B & \sin B \\ -1 & \sin B & -\cos B \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[a\sqrt{2}[-{{\cos }^{2}}B-{{\sin }^{2}}B]-\sin B[-\cos B+\sin B]\] \[+\cos B[\sin B+\cos B]=0\] \[\Rightarrow \]\[-a\sqrt{2}+\sin 2B+\cos 2B=0\Rightarrow a\in [-1,\,\,1]\]You need to login to perform this action.
You will be redirected in
3 sec