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Consider three planes P (1) = 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 _(2),` respectively
Statement -1: At least two of the lines `L _(1), _(2) and L _(3)` are non-parallel .
Statement -1: the three planes fo not have a common point

A

Both the statement are true, and Statement 2 is the correct explanation for Statement 1

B

Both the statement are true, but Statement 2 is not the correct explanation for Statement 1

C

Statement 1 is true and Statement 2 is false

D

Statement 1 is false and Statement 2 is true.

Text Solution

Verified by Experts

The correct Answer is:
D
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