In a triangle \[PQR\], \[\angle R=\frac{\pi }{2}.\]If \[\tan \left( \frac{P}{2} \right)\]and \[\tan \left( \frac{Q}{2} \right)\]are the roots of the equation \[a{{x}^{2}}+bx+c=0(a\ne 0).\] then [IIT 1999; MP PET 2000; AIEEE 2005]

In a triangle \[PQR\], \[\angle R=\frac{\pi }{2}.\]If \[\tan \left( \f

1.	In a triangle \[PQR\], \[\angle R=\frac{\pi }{2}.\]If \[\tan \left( \frac{P}{2} \right)\]and \[\tan \left( \frac{Q}{2} \right)\]are the roots of the equation \[a{{x}^{2}}+bx+c=0(a\ne 0).\] then [IIT 1999; MP PET 2000; AIEEE 2005]
A.	\[a+b=c\]
B.	\[b+c=a\]
C.	\[a+c=b\]
D.	\[b=c\]
Answer» B. \[b+c=a\]

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In a triangle \[PQR\], \[\angle R=\frac{\pi }{2}.\]If \[\tan \left( \frac{P}{2} \right)\]and \[\tan \left( \frac{Q}{2} \right)\]are the roots of the equation \[a{{x}^{2}}+bx+c=0(a\ne 0).\] then [IIT 1999; MP PET 2000; AIEEE 2005]

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