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Consider three planes P(1):x-y+z=1 P(2...

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.

Text Solution

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The correct Answer is:
false.
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