JEE Main 2026 — Determinants Question with Solution
JEE Main 2026 (08 April Shift 2)
Question
If the system of linear equations:
,
,
has infinitely many solutions, then the value of equals:
,
,
has infinitely many solutions, then the value of equals:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
For the system of linear equations to have infinitely many solutions, the determinant of the coefficient matrix must be zero, and .
Expanding the determinant:
Now, setting :
Expanding the determinant:
Therefore, .
Answer:
Expanding the determinant:
Now, setting :
Expanding the determinant:
Therefore, .
Answer:
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