Question

The system of linear equations

x + y + z = 2

2x + 3y + 2z = 5

2x + 3y + (a² – 1)z = a + 1

(1)  is inconsistent when a = 4

(2)  has infinitely many solutions for a = 4

(3)  has a unique solution for | a| = √3 

(4) is inconsistent when |a| = √3

Answer 1

Correct option  (4) is inconsistent when |a| = √3

Explanation:

since if a²  ≠ 3 then only it will have unique solution. So at a = 4 unique solution exist.