In a triangle … and … are the roots of … then

Option B. …R = 90^o … …P + …Q = 90^o

Quadratic Equation and Inequalities

JEE Main 2005 · Annual, Paper 1 · Q5116

MathematicsMedium129×since 2002Q5116

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

JEE Main 2005 · Annual, Paper 1 · Q5116

MathematicsMedium129×since 2002Q5116

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