Quadratic Equation

Geometry Level 3

In a triangle \(PQR\), \(\angle R = 90^\circ\).

If \(\tan \frac{P}{2}\) and \(\tan \frac{Q}{2}\) are the roots of \(ax^2 + bx + c = 0\), where \(a\ne 0\), then which of the following is true?

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