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  4. In a triangle PQR , angle R =(π/2). If tan (( P /2)) tan (( Q /2)) are the roots of the equation a x2+b x+c=0 (a ≠ 0) then :

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Q. In a triangle $PQR , \angle R =\frac{\pi}{2}$. If $\tan \left(\frac{ P }{2}\right) \& \tan \left(\frac{ Q }{2}\right)$ are the roots of the equation $a x^2+b x+c=0 \quad(a \neq 0)$ then :

Complex Numbers and Quadratic Equations

Solution:

Correct answer is (a) $a+b=c$