JEE Main 2026 — Determinants Question with Solution
JEE Main 2026 (04 April Shift 2)
Question
If the system of equations:
has infinitely many solutions, then the value of is:
has infinitely many solutions, then the value of is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
For the system to have infinitely many solutions, and .
Setting gives .
Now, calculating :
Setting gives .
For and , we can verify that and as well.
Therefore, .
Answer:
Setting gives .
Now, calculating :
Setting gives .
For and , we can verify that and as well.
Therefore, .
Answer:
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Determinants chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2026, covering the Determinants chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.