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** Q 1105412368. ** Consider three planes

`P_1= x-y+z=1`

`P_2=x+y-z=-1`

`P_3=x-3y+3z=2`

Let `L_1, L_2, L_3` be the lines of intersection of the planes `P_2` and `P_3, P_3` and `P_1`, and `P_1` and `P_2` respectively.

STATEMENT -1 : At least two of the lines `L_1, L_2` and `L_3` are non-parallel.

STATEMENT -2 : The three planes do not have a common point.

**JEE 2008 **