It is quadratic, no it's trigonometry

Geometry Level 3

Let \(\triangle ABC\) be a triangle right angled at \(C\). If \(\tan\frac { A }{ 2 }\) and \(\tan\frac { B }{ 2 }\) are the roots of the quadratic equation \(ax ^{ 2 }+bx+c=0\), then which of the following is true?

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