The number of values of θ (0, π) for which the system of linear equations x + 3y + 7z = 0 - x + 4y + 7z = 0 (sin3 θ)x + (cos2 θ)y + 2z = 0. has a non-trival solution, is -

Matrices and Determinants: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Evening shift · Q4570

JEE Main 201910 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002

The number of values of

\theta

\in

(0,

\pi

) for which the system of linear equations x + 3y + 7z = 0

-

x + 4y + 7z = 0 (sin3

\theta

)x + (cos2

\theta

)y + 2z = 0. has a non-trival solution, is -