question_answer

If \[\left( {{p}^{2}}-{{q}^{2}} \right)~~\] \[\mathbf{sin}\theta +\text{ }\mathbf{2pq}\text{ }\mathbf{cos}\text{ }\theta =\text{ }{{\mathbf{p}}^{\mathbf{2}}}-\text{ }{{\mathbf{q}}^{\mathbf{2}}}\], then the value of tan\[\theta \] is ________

A)  \[\frac{p+q}{2pq}\]                                                     

B)  \[\frac{p-q}{2pq}\]

C)  \[\frac{{{p}^{2}}-{{q}^{2}}}{2pq}\]            

D)  \[\frac{{{p}^{2}}+{{q}^{2}}}{2pq}\]

E)  None of these