JEE Main 2012 — Determinants Question with Solution
JEE Main 2012 (26 May Online)
Question
Statement 1: If the system of equations has a nontrivial solution, then the value of is .
Statement 2: A system of three homogeneous equations in three variables has a non trivial solution if the determinant of the coefficient matrix is zero.
Choose an option
Show full solutionCorrect option: A
Correct answer
AStatement 1 is false, Statement 2 is true.
Step-by-step explanation
Given system of equations is
Since, system has non-trivial solution
Hence, statement - 1 is false.
Statement- 2 is the property.
It is a true statement.
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