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

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In a triangle \( P Q R, \angle R=\frac{\pi}{2} \). If \( \tan \left(\frac{P}{2}\right) \) and \( \tan \left(\frac{Q}{2}\right) \) are the roots of the equation
\( \mathrm{P} \) \( a x^{2}+b x+c(a \neq 0) \). Then

W
(A) \( a+b=c \)
(B) \( \quad b+c=0 \)
(C) \( \quad a+c=b \)
(D) \( b=c \)
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