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Q. If $\cot (\theta-\alpha), 3 \cot \theta, \cot (\theta+\alpha)$ are in A.P. and $\theta$ is not an integral multiple of $\frac{\pi}{2}$, then $\frac{2 \sin ^2 \theta}{\sin ^2 \alpha}$ is equal to

Sequences and Series

Solution:

Correct answer is '2'