If \[\tan \,(A+B)=p,\,\,\tan \,(A-B)=q,\] then the value of \[\tan \,2A\] in terms of p and q is [MP PET 1995, 2002]

If \[\tan \,(A+B)=p,\,\,\tan \,(A-B)=q,\] then the value of \[\tan \,2

1.	If \[\tan \,(A+B)=p,\,\,\tan \,(A-B)=q,\] then the value of \[\tan \,2A\] in terms of p and q is [MP PET 1995, 2002]
A.	\[\frac{p+q}{p-q}\]
B.	\[\frac{p-q}{1+pq}\]
C.	\[\frac{p+q}{1-pq}\]
D.	\[\frac{1+pq}{1-p}\]
Answer» D. \[\frac{1+pq}{1-p}\]