Question 1 :
If $\displaystyle  \begin{vmatrix} x & y   \\ 1 & 6   \end{vmatrix} $ = $\displaystyle  \begin{vmatrix} 1 & 8   \\ 1 & 6   \end{vmatrix} $ then x+2y=
Question 2 :
If the matrix $\begin{bmatrix} 1 & 3 & \lambda +2 \\ 2 & 4 & 8 \\ 3 & 5 & 10 \end{bmatrix}$ is singular, then $\lambda=$
Question 3 :
Matrix $A = [a_{ij}]_{m \times n}$ is a square matrix if<br>
Question 4 :
The matrix A satisfies the matrix equation if $A=\begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{bmatrix}$<br/>
Question 5 :
Let $A = \begin{bmatrix} -2 & 7 & \sqrt{ 3}  \\ 0 & 0 & -2 \\ 0 & 2 & 0 \end{bmatrix} $  and $A^4 = \lambda$. I, then $\lambda $ is
Question 6 :
Solve ${\cos ^{ - 1}}\left( {\frac{4}{5}} \right) + {\cos ^{ - 1}}\left( {\frac{{63}}{{65}}} \right) = $
Question 8 :
If $\cos ^{ -1 }{ x } -\cos ^{ -1 }{ \cfrac { y }{ 2 }  } =\alpha $, then $4{ x }^{ 2 }-4xy\cos { \alpha  } +{ y }^{ 2 }\quad $ is equal to
Question 11 :
If $\begin{vmatrix} x & y\\ 4 & 2 \end{vmatrix}=7$ and $\begin{vmatrix} 2 & 3\\ y & x \end{vmatrix}=4$ then<br>
Question 12 :
If $\begin{vmatrix} a & a & x\\ m & m & m\\ b & x & b\end{vmatrix}=0$ then $x=?$
Question 13 :
Let $\Delta =$ <br> $\begin{vmatrix} sin\theta cos \phi & sin\theta sin\phi & cos\theta \\ cos\theta cos\phi & cos\theta sin\phi & -sin\theta \\ -sin\theta sin\phi & sin\theta cos\phi & 0\end{vmatrix}$, then
Question 14 :
If $A=\begin{bmatrix} 1 & 1 & 1 \\ 1 & 1+x & 1 \\ 1 & 1 & 1+y  \end{bmatrix}$ for $x\neq 0,  y\neq 0$, then $D$ is:<br/>
Question 15 :
The value of the determinant $\displaystyle \left| \begin{matrix} 1+a \\ 1 \\ 1 \end{matrix}\,\,\,\begin{matrix} 1 \\ 1+a \\ 1 \end{matrix}\,\,\,\begin{matrix} 1 \\ 1 \\ 1+a \end{matrix} \right| $ is