question_answer

If the angle \[\theta \] between the line \[\frac{x+1}{1}=\frac{y-1}{2}=\frac{z-2}{2}\] and the plane \[2x-y+\sqrt{\lambda }\,z+4=0\] is such that\[\sin \theta =\frac{1}{3}\]. Then, value of \[\lambda \] is_______.

A)  \[\frac{-4}{3}\]                        

B)  \[\frac{5}{3}\]

C)  \[\frac{-3}{4}\]                        

D)  \[\frac{3}{5}\]

E)  None of these