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#Engineering

For the system of linear equation : $x-2y=1,x-y+kz=-2,ky+4z=6,k\in R,$ consider the following statement (A) The system has unique solution if $k\neq 2,k\neq -2$ (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 $k\neq -2$ Which of the following statement are correct ?
Option: 1 (B) and (E) only
Option: 2 (A) and (E) only
Option: 3 (A) and (D) only
Option: 4 (C) and (D) only

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