Let \[\lambda \] and \[\alpha \] be real. The set of all values of x for which the system of linear equations \[\lambda x+(\sin \alpha )y+(cos\alpha )z=0\] \[x+(cos\alpha )y+(sin\alpha )z=0\] \[-x+(\sin \alpha )-(\cos \alpha )z=0\] has a non-trivial solution, is

\[\left[ 0,\,\sqrt{2} \right]\]

\[\left[ -\sqrt{2},\sqrt{2} \right]\]

Let \[\lambda \] and \[\alpha \] be real. The set of all values of x f

1.	Let \[\lambda \] and \[\alpha \] be real. The set of all values of x for which the system of linear equations \[\lambda x+(\sin \alpha )y+(cos\alpha )z=0\] \[x+(cos\alpha )y+(sin\alpha )z=0\] \[-x+(\sin \alpha )-(\cos \alpha )z=0\] has a non-trivial solution, is
A.	\[\left[ 0,\,\sqrt{2} \right]\]
B.	\[\left[ -\sqrt{2},0 \right]\]
C.	\[\left[ -\sqrt{2},\sqrt{2} \right]\]
D.	None of these
Answer» D. None of these

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Let \[\lambda \] and \[\alpha \] be real. The set of all values of x for which the system of linear equations \[\lambda x+(\sin \alpha )y+(cos\alpha )z=0\] \[x+(cos\alpha )y+(sin\alpha )z=0\] \[-x+(\sin \alpha )-(\cos \alpha )z=0\] has a non-trivial solution, is

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