JEE Main 2016Session, Shift 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002A value of θ \theta \,θ for which 2+3isinθ 1−2i sin θ {{2 + 3i\sin \theta \,} \over {1 - 2i\,\,\sin \,\theta \,}}1−2isinθ2+3isinθ is purely imaginary, is :AOption A. sin−1(34){\sin ^{ - 1}}\left( {{{\sqrt 3 } \over 4}} \right)sin−1(43)BOption B. sin−1(13) {\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)\,sin−1(31)COption C. π3{\pi \over 3}3πDOption D. π6{\pi \over 6}6πCheckSkip · show solution
