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Consider three planes P1 : x-y + z = 1, ...

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` and `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

A

Statement-I is true, Statement II 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-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

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The correct Answer is:
(a)
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