JEE Main 20248 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002The sum of all possible values of θ∈[−π,2π]\theta \in[-\pi, 2 \pi]θ∈[−π,2π], for which 1+icosθ1−2icosθ\frac{1+i \cos \theta}{1-2 i \cos \theta}1−2icosθ1+icosθ is purely imaginary, is equal to :AOption A. 4π4 \pi4πBOption B. 3π3 \pi3πCOption C. 2π2 \pi2πDOption D. 5π5 \pi5πCheckSkip · show solution
