Among the statements: I: If \(\left|\begin{matrix}1 & \cos \alpha & \cos \beta \\ \cos \alpha & 1 & \cos \gamma \\ \cos …

Among the statements:

I: If \(\left|\begin{matrix}1 & \cos \alpha & \cos \beta \\ \cos \alpha & 1 & \cos \gamma \\ \cos \beta & \cos \gamma & 1\end{matrix}\right|=\left|\begin{matrix}0 & \cos \alpha & \cos \beta \\ \cos \alpha & 0 & \cos \gamma \\ \cos \beta & \cos \gamma & 0\end{matrix}\right|\), then \({\cos }^{2}\alpha +{\cos }^{2}\beta +{\cos }^{2}\gamma =\frac{3}{2}\), and

II: If \(\left|\begin{matrix}{x}^{2}+x & x+1 & x-2 \\ 2{x}^{2}+3x-1 & 3x & 3x-3 \\ {x}^{2}+2x+3 & 2x-1 & 2x-1\end{matrix}\right|=px+q\), then \({p}^{2}=196{q}^{2}\).

[JEE Main 2026, 23 Jan (Shift 1)]