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

Option A. …\left| {\matrix{ 1 & 3 & 7 \cr { - 1} & 4 & 7 \cr {\sin 3\theta } & {\cos 2\theta } & 2 \cr

Matrices and Determinants

JEE Main 2019 · 10 Jan, Evening shift · Q4570

MathematicsMedium244×since 2002Q4570

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 -