Jee Main
Matrices And Determinants
JEE Main 2021 (Online) 26th August Morning Shift
MCQ+4 / -12021
Let \(\theta \in \left( {0,{\pi \over 2}} \right)\). If the system of linear equations
\((1 + {\cos ^2}\theta )x + {\sin ^2}\theta y + 4\sin 3\,\theta z = 0\)
\({\cos ^2}\theta x + (1 + {\sin ^2}\theta )y + 4\sin 3\,\theta z = 0\)
\({\cos ^2}\theta x + {\sin ^2}\theta y + (1 + 4\sin 3\,\theta )z = 0\)
has a non-trivial solution, then the value of \(\theta\) is :
\((1 + {\cos ^2}\theta )x + {\sin ^2}\theta y + 4\sin 3\,\theta z = 0\)
\({\cos ^2}\theta x + (1 + {\sin ^2}\theta )y + 4\sin 3\,\theta z = 0\)
\({\cos ^2}\theta x + {\sin ^2}\theta y + (1 + 4\sin 3\,\theta )z = 0\)
has a non-trivial solution, then the value of \(\theta\) is :