Consider three planes `P_(1):x-y+z=1`, `P_(2):x+y-z=-1` and
`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),P_(1)` and `P_(2)` respectively.
Statement I Atleast two of the lines `L_(1),L_(2)` and `L_(3)` are non-parallel.
Statement II The three planes do not have a common point.

Options

A. Statement I is true, Statement II is also true, Statement II is the correct explanation of
B. Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.
C. Statement I is true, Statement II is false.
D. Statement I is false, Statement II is true.

Answer

D