For the system of linear equations: $$x - 2y = 1,x - y + kz = - 2,ky + 4z = 6,k \in R$$, consider the following statements : (A) The system has unique solution if $$k \ne 2,k \ne - 2$$. (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 $$ \ne $$ $$-$$2. Which of the following statements are correct?
JEE · Math · previous-year question
- A.(B) and (E) only
- B.(C) and (D) only
- C.(A) and (E) only
- D.(A) and (D) only
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