In a \( \triangle P Q R, \angle R=\frac{\pi}{2} \). If \( \tan \frac{P}{2} \) and \( \tan \frac{...

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In a \( \triangle P Q R, \angle R=\frac{\pi}{2} \). If \( \tan \frac{P}{2} \) and \( \tan \frac{Q}{2} \) are the roots of the equation \( a x^{2}+b x+c=0(a \neq 0) \), then
(A) \( a+b=c \)
(B) \( b+c=a \)
(C) \( c+a=b \)
(D) \( b=c \)
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