JEE Main 201912 Jan, Evening shiftMathematicsMediumMatrices and Determinants245× since 2002If A = [1sinθ1−sinθ1sinθ−1−sinθ1]\left[ {\matrix{ 1 & {\sin \theta } & 1 \cr { - \sin \theta } & 1 & {\sin \theta } \cr { - 1} & { - \sin \theta } & 1 \cr } } \right]1−sinθ−1sinθ1−sinθ1sinθ1; then for all θ\thetaθ ∈\in∈ (3π4,5π4)\left( {{{3\pi } \over 4},{{5\pi } \over 4}} \right)(43π,45π), det (A) lies in the interval :AOption A. (32,3]\left( {{3 \over 2},3} \right](23,3]BOption B. (0,32]\left( {0,{3 \over 2}} \right](0,23]COption C. [52,4)\left[ {{5 \over 2},4} \right)[25,4)DOption D. (1,52]\left( {1,{5 \over 2}} \right](1,25]CheckSkip · show solution
