Coefficents matrix
A= | 1 0 -2 |
| 1 -1 0 |
| 2 -2 0 |
Homogenous equation has 0 as trivial solution .hence option 1 is wrong
Now the rank of A < 3 as 2nd and 3rd row is proportional .
Hence the equations have infinite no of solution
Answer is option 2