Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The system of linear equations
x + y + z = 2
2x + 3y + 2z = 5
2x + 3y + (a 2 + 1)z = a + 1
A
is inconsistent when a = 4
B
has infinitely many solutions for a = 4
C
is inconsistent when |a| = 
D
has a unique solution for |a| = 
Text Solution
Verified by ExpertsThe correct answer is:
C
Sol. D = 
C 2 → C 2 – C 1 and C 3 → C 3 – C 1
D = 
= a 2 – 3
Since if a 2 ≠ 3 then only it will have unique solution. So at a = 4 unique solution exist
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