A value ofqfor which 2 3isin 1 2isin + q – q is purely imaginary, is:

Question:

A value of $\theta$ for which $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, is:

  1. $\sin ^{-1}\left(\frac{\sqrt{3}}{4}\right)$

  2. $\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

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

  4. $\frac{\pi}{6}$

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Complex Numbers and Quadratic Equations chapter.
JEE Main Previous Year 2016

Solution:

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