Question: The system of linear equations
$\lambda x+2 y+2 z=5$
$2 \lambda x+3 y+5 z=8$
$4 x+\lambda y+6 z=10$ has
infinitely many solutions when $\lambda=2$
a unique solution when $\lambda=-8$
no solution when $\lambda=8$
no solution when $\lambda=2$
Correct Option: , 4
Solution: