CUET Mathematics 2026 30th May Shift 1 PYQs

If $\begin{vmatrix} 1 & \cos \theta & 0 \\ \sin \theta & 1 & \cos \theta \\ |\cos \theta & 1 & -\sin \theta| \end{vmatrix} = A\sin \theta + B\cos \theta + C\sin \theta\cos \theta$ then:

If $A$ is a square matrix of order 3 such that $A(adj\ A) = \begin{bmatrix}-2 & 0 & 0\\ 0 & -2 & 0\\ 0 & 0 & -2\end{bmatrix}$, then $|adj\ A|$ is equal to

If $\begin{vmatrix} x & 3 & x \\ x^2 & x & 7 \\ x & x & 7 \end{vmatrix} = ax^4+bx^3+cx^2+dx+e$, then the value of $6a+5b+4c+3d+2e$ is