JEE Main 24 Feb 2021 Shift 2 Solved Paper

For the system of linear equations x−2y=1,x−y+kz=−2,ky+4z=6,k∈R, consider the following statements
(A) The system has unique solution, if k≠2, k≠−2
(B) The system has unique solution, if k=−2
(C) The system has unique solution, if k=2
(D) The system has no solution, if k=2
(E) The system has infinite number of solutions, if k≠−2
Which of the following statements are correct?