JEE Main 2013 — Determinants Question with Solution
JEE Main 2013 (23 Apr Online)
Question
Statement-1: The system of linear equations
has a non-trivial solution for only one value of
lying in the interval .
Statement-2: The equation in
has only one solution lying in the interval
Choose an option
Show full solutionCorrect option: C
Correct answer
CStatement-1 is true, Statement- 2 is false.
Step-by-step explanation
Now, for only
since value of is finite for
Hence non-trivivial solution for only one value of in
But not possible for any value of
which is also not possible for any value of
Hence, there is no solution.
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This is a previous-year question from JEE Main 2013, 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.