JEE Main 2021 Mathematics question

For the system of linear equations : x – 2y = 1, x – y + kz = –2, ky + 4z = 6, k, 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 ?

• (A)(C) and (D) only
• (B)(B) and (E) only
• (C)(A) and (E) only
• (D)(A) and (D) onlyCorrect