Matrices and Determinants: JEE Main 2026 Mathematics question

Among the statements : I: If $\begin{vmatrix}1&\cos\alpha&\cos\beta\\ \cos\alpha&1&\cos\gamma\\ \cos\beta&\cos\gamma&1\end{vmatrix}=\begin{vmatrix}0&\cos\alpha&\cos\beta\\ \cos\alpha&0&\cos\gamma\\ \cos\beta&\cos\gamma&0\end{vmatrix}$, then $\cos^2\alpha+\cos^2\beta+\cos^2\gamma=\frac{3}{2}$, and II: If $\begin{vmatrix}x^2+x&x+1&x-2\\ 2x^2+3x-1&3x&3x-3\\ x^2+2x+3&2x-1&2x-1\end{vmatrix}=px+q$, then $p^2=196q^2$,