Let A={θ∈(-π/2,π): (3+2i sinθ)... | Complex Numbers

JEE Main 2019

9-01-2019 S1

Question

Let $A=\left\{\theta \in\left(-\frac{\pi}{2}, \pi\right): \frac{3+2 i \sin \theta}{1-2 i \sin \theta}\right.$ is purely imaginary $\}$ Then the sum of the elements in $A$ is

Select the correct option:

$\frac{5 \pi}{6}$

$\pi$

$\frac{3 \pi}{4}$

$\frac{2 \pi}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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