In a triangle `PQR, ∠R=π/2`.If `tan(P/2) & tan(Q/2)`, are the roots of the equation `ax^2+bx+c=(a≠0)` then

Explanation

To solve the problem, we need to find a relationship between the coefficients of the quadratic equation and the angles of triangle \( PQR \) given that \( \angle R = \frac{\pi}{2} \).

### Step-by-Step Solution:

1. **Understanding the Triangle**:
Given that \( \angle R = \frac{\pi}{2} \), triangle \( PQR \) is a right triangle. Therefore, we can denote the angles as:
\[
\angle P = A, \quad \angle Q = B, \quad \angle R = \frac{\pi}{2}
...