JEE Main 2023 Mathematics question

Let and be respectively the sets of a R – {0} for which the system of linear equations ax + 2ay – 3az = 1, (2a+1)x + (2a+3)y + (a+1)z = 2, (3a+5)x + (a+5)y + (a+2)z = 3 has unique solution and infinitely many solutions. Then

• (A) and
• (B) and Correct
• (C) is an infinite set and n() = 2
• (D)n() = 2 and is an infinite set