Directions For the following questions, choose the correct answer f...

Directions For the following questions,
choose the correct answer from the codes (a), (b), (c) and
(d) defined as follows.
(a) Statement \( I \) is true, Statement \( I \) is also true; Statement II is the correct explanation of Statement \( I \)
(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 \( \Pi \) is false
(d) Statement I is false; Statement II is true
Consider three planes
\[
P_{1}: x-y+z=1, P_{2}: x+y-z=-1
\]
and \( P_{3}: x-3 y+3 z=2 \)
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.