Let A= 3 2isin , : is purely imaginary 2 1 2isin ì ü æ ö p +q í ý qÎ – p ç ÷ î þ è ø – q . Then the sum of the elements in A is:


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

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

  2. $\pi$

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

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

Correct Option: 4

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year Jan. 102019 (II)


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