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Three Dimensional Geometry

Section: Mathematics

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Question : 35

Total: 35

Consider three planes
P1 : x − y + z = 1
P2 : x + y − z = −1
P3 : x − 3y + 3z = 2
Let L1,L2,L3 be the lines of intersection of the planes P2 and P3,P3 and P1, and P1 and P2, respectively.
STATEMENT 1: At least two of the lines L1,L2 and L3 are non-parallel.
and
STATEMENT 2: The three planes do not have a common point.

[JEE Adv 2008 P1]

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1.
Statement-1 is True, Statement-2 is False.
Statement-1 is False, Statement-2 is True.

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