Let \(\tan A, \tan B\), where \(A, B \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), be the roots of the quadratic equa…

Let \(\tan A, \tan B\), where \(A, B \in\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\), be the roots of the quadratic equation \(x^2-2 x-5=0\). Then \(20 \sin ^2\left(\frac{A+B}{2}\right)\) is equal to:

[JEE Main 2026, 5 Apr (Shift 1)]