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 $\frac{31}{2}$
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.
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 $\frac{31}{2}$
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.
- [AIEEE 2012]
- A
Statement $1$ is false, Statement $2$ is true.
- B
Statement $1$ is true, Statement $2$ is true,Statement $2$ is a correct explanation for Statement $1$
- C
Statement $1$ is true, Statement $2$ is true,Statement $2$ is not a correct explanation for Statement $1$ .
- D
Statement $1$ is true, Statement $2$ is false
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