List of top Mathematics Questions on Applications of Determinants and Matrices asked in KCET

The area of triangle with vertices ${(K, 0),(4,0) , (0, 2)}$ is $4$ square units, then value of $K$ is

The constant term of the polynomial $\begin{vmatrix} {x+3}&{x} &{x+2}\\ {x}&{x+1}& {x-1} \\ {x+2}&{2x}&{3x+1}\\ \end{vmatrix} $ is ________