The sum of all possible values of θ ∈ [−π, 2π], for which 1 + i 1 - 2i is purely imaginary, is equal to:

JEE Main 2024 Mathematics question

The sum of all possible values of θ ∈ [−π, 2π], for which is purely imaginary, is equal to:

Answer: (B)

Multiplying by the conjugate, the real part is proportional to 1 − 2cos²θ = 0, so cos θ =

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Question ID VK-012453