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Consider three planes p (1): x-y+z=1, p ...

Consider three planes `p _(1): x-y+z=1, p _(1)P: x + y-z=-1 and p _(3) :x - 3y+ 3z =2.`
Let `I_(1), I _(2), I _(3)` 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 `I_(1), I_(2)` are non-parallel.
Statement II : The three planes do not have a common point.
For the following question, choose the correct answer from the codes (A), (B), (C ) and (D) defined as follows.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of

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

Verified by Experts

The correct Answer is:
D
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