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.
Correct Answer: A
Solution :
Given system of equations is \[x+ky+3z=0\] \[3x+ky-2z=0\] \[2x+3y-4z=0\] Since, system has non-trivial solution \[\therefore \]\[\left| \begin{matrix} 1 & k & 3 \\ 3 & k & -2 \\ 2 & 3 & -4 \\ \end{matrix} \right|=0\] \[\Rightarrow \]\[1(-4k+6)-k(-12+4)+3(9-2k)=0\] \[\Rightarrow \]\[4k+33-6k=0\Rightarrow k=\frac{33}{2}\] Hence, statement -1 is, false. Statement-2 is the property. It is a true statement.You need to login to perform this action.
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