If x, y, z are in arithmetic progression with common difference d, x 3d, and the determinant of the matrix \left[ {\matrix{
3 & {4\sqrt 2 } & x \cr
4 & {5\sqrt 2 } & y \cr
5 & k & z \cr
} } \right] is zero, then the value of k² is :
JEE Main 2021 · 17 Mar, Evening shift · Q4464