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

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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 \( a x^{2}+b x+c=0(a \neq 0) \), then
\( \mathrm{P} \)
(a) \( a+b=c \)
(b) \( b+c=a \)
(1999, 2M)
WV
(c) \( a+c=b \)
(d) \( b=c \)
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