A value of for which is purely imaginary is

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

A value of

\theta

for which

\frac{2+3i\sin\theta}{1-2i\sin\theta}

is purely imaginary is (1)

\frac{\pi}{6}

(2)

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

(3)

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

(4)

\frac{\pi}{3}