1.
If x,y,zx, y, z are in arithmetic progression with common difference dd, y=x+3dy = x + 3d, and the determinant of the matrix
342x452ykz2=0,\begin{vmatrix} 3 & 4\sqrt{2} & x \\ 4 & 5\sqrt{2} & y \\ k & z & \sqrt{2} \end{vmatrix} = 0,

then the value of k2k^2 is: