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 inte

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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
A

Statement-1 is True, Statement -2 is True; Statement-2 is a correct explanation for Statement-1

B

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

C

Statement -1 is True, Statement -2 is False

D

Statement -1 is False, Statement -2 is True

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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