JEE Main 2023 Mathematics question

Consider the following system of equations x + 2y + z = 1, x + 3y + z = 1, 3x + y + 2z = For some , when which of the following is NOT correct?

• (A)It has no solution if = –1 and
• (B)It has a solution for all and = 2
• (C)It has no solution for = 3 and for all Correct
• (D)It has no solution for = –1 and for all