JEE Main 20199 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let A = {θ∈(−π2,π):3+2isinθ1−2isinθis purely imaginary}\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}is\,purely\,imaginary} \right\}{θ∈(−2π,π):1−2isinθ3+2isinθispurelyimaginary} . Then the sum of the elements in A is :AOption A. 5π6{5\pi \over 6}65πBOption B. π\piπCOption C. 3π4{3\pi \over 4}43πDOption D. 2π3{{2\pi } \over 3}32πCheckSkip · show solution
