\(\left[ {\begin{array}{*{20}{c}} 4&5&x\\ 5&6&y\\ 6&k&z \end{array}} \right]\)

For the given matrix, if x, y, z are in AP with a common difference d and the rank of the matrix is 2, then which of the following results is/are always correct?

1
d = k
2
‘d’ and ‘k’ are any arbitrary number
3
k = 7
4
x = 4d

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