JEE Math Practice Question

In a triangle $$PQR,\;\;\angle R = {\pi \over 2}.\,\,If\,\,\tan \,\left( {{P \over 2}} \right)$$ and $$ \tan \left( {{Q \over 2}} \right)$$ are the roots of $$a{x^2} + bx + c = 0,\,\,a \ne 0$$ then

1. A.$$a = b + c$$
2. B.$$c = a + b$$
3. C.$$b = c$$
4. D.$$b = a + c$$