If $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, then $\cos ^2 \theta=$

If $\frac{2+3 i \sin \theta}{1-2 i \sin \theta}$ is purely imaginary, then $\cos ^2 \theta=$
  1. $\frac{1}{2}$
  2. $\frac{3}{2}$
  3. $\frac{1}{3}$
  4. $\frac{2}{3}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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