In a triangle PQR, R = (π)/2. If tan (P/2) and tan (Q/2) are the roots of a x² + bx + c = 0, a ≠ 0 then

Complex Numbers and Quadratic Equations: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q5116

JEE Main 2005Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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

JEE Main 2005Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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