Problem

Match the statement of Column I with values of Column II

Column-I	Column-II
(A) If $\alpha, \beta, \gamma$ and $\delta$ are four solutions of the equation $\tan\left(\theta + \frac{\pi}{4}\right) = 3 \tan 3\theta$ , no two of which have equal tangents, then the value of $\tan \alpha + \tan \beta + \tan \gamma + \tan \delta$ is	(p) $\sqrt{2}$
(B) If $\frac{\cos(\theta_1 - \theta_2)}{\cos(\theta_1 + \theta_2)} + \frac{\cos(\theta_3 + \theta_4)}{\cos(\theta_3 - \theta_4)} = 0$ then $\tan \theta_1 \tan \theta_2 \tan \theta_3 \tan \theta_4 =$	(q) $\sqrt{3}$
(C) If $\sec(\alpha - \beta), \sec \alpha$ and $\sec(\alpha + \beta)$ are in A.P. (with $\beta \ne 0$ ), then $\cos \alpha \sec \frac{\beta}{2} =$	(r) -1
(D) If $\cos \alpha = \frac{2 \cos \beta - 1}{2 - \cos \beta}$ ( $0 < \alpha < \beta < \pi$ ), then $\frac{\tan \frac{\alpha}{2}}{\tan \frac{\beta}{2}}$ is equal to	(s) 0