The number of θ (0,4 π) for which the system of linear equations 3(sin 3 θ) x-y+z=2 3(cos 2 θ) x+4 y+3 z=3 6 x+7 y+7 z=9 has no solution, is:

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jul, Morning shift · Q4611

JEE Main 202225 Jul, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

The number of

\theta \in(0,4 \pi)

for which the system of linear equations

\begin{aligned} &3(\sin 3 \theta) x-y+z=2 \\\\ &3(\cos 2 \theta) x+4 y+3 z=3 \\\\ &6 x+7 y+7 z=9 \end{aligned}

has no solution, is :

JEE Main 2022 · 25 Jul, Morning shift · Q4611

JEE Main 202225 Jul, Morning shiftMathematicsHardMatrices and Determinants245× since 2002

The number of

\theta \in(0,4 \pi)

for which the system of linear equations

\begin{aligned} &3(\sin 3 \theta) x-y+z=2 \\\\ &3(\cos 2 \theta) x+4 y+3 z=3 \\\\ &6 x+7 y+7 z=9 \end{aligned}

has no solution, is :