Statement 1: If the system of equations x+ky+ 3z=0,3x+ky−2z=0,2x+3y−4z=0 has a nontrivial solution, then the value of k is 231. 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.
Held on 26 May 2012 · Verified 6 Jul 2026.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.
Statement 1 is true, Statement 2 is true,, Statement 2 is not a correct explanation for Statement 1.
Statement 1 is true, Statement 2 is false.
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Work through every JEE Main Algebra PYQ, year by year.