JEE Main 2026 — Determinants Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
The system of linear equations
has
has
Choose an option
Show full solutionCorrect option: D
Correct answer
Dinfinitely many solutions for and
Step-by-step explanation
Coefficient matrix determinant: .
For , , so unique solution is not possible.
With : gives .
gives .
For consistency: .
When : the system has infinitely many solutions.
For , , so unique solution is not possible.
With : gives .
gives .
For consistency: .
When : the system has infinitely many solutions.
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