Let A = \θ ∈ (-(π)/2, π ) : (3 + 2isinθ)/(1 - 2isinθ) is purely imaginary \ Then, the sum of the elements in A is

Let A = \θ ∈ (-(π)/2, π ) : (3 + 2isinθ)/(1 - 2isinθ) is… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 9 Jan · Shift I

Let

A = \left\{\theta \in \left(-\frac{\pi}{2}, \pi\right) : \frac{3 + 2i\sin\theta}{1 - 2i\sin\theta} \text{ is purely imaginary}\right\}

Then, the sum of the elements in

A

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Correct option: D

[JEE Main 2019 · 9 Jan · Shift I]

Practise Complex Numbers and Quadratic Equations the way it is asked

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